Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(4,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(102))
chi = DirichletCharacter(H, H._module([34, 88]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.y (of order \(51\), degree \(32\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(3264\) |
Relative dimension: | \(102\) over \(\Q(\zeta_{51})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{51}]$ |
Embedding invariants
Embedding label | 781.14 | ||
Character | \(\chi\) | \(=\) | 927.781 |
Dual form | 927.2.y.a.400.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{13}{51}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.08877 | + | 0.809194i | −1.47698 | + | 0.572187i | −0.959051 | − | 0.283234i | \(-0.908593\pi\) |
−0.517933 | + | 0.855421i | \(0.673298\pi\) | |||||||
\(3\) | −1.38232 | − | 1.04364i | −0.798084 | − | 0.602546i | ||||
\(4\) | 2.23015 | − | 2.03305i | 1.11508 | − | 1.01653i | ||||
\(5\) | −1.20031 | + | 4.21866i | −0.536796 | + | 1.88664i | −0.0806373 | + | 0.996744i | \(0.525696\pi\) |
−0.456159 | + | 0.889898i | \(0.650775\pi\) | |||||||
\(6\) | 3.73186 | + | 1.06136i | 1.52353 | + | 0.433298i | ||||
\(7\) | 0.0718242 | − | 0.108394i | 0.0271470 | − | 0.0409689i | −0.819777 | − | 0.572683i | \(-0.805903\pi\) |
0.846924 | + | 0.531714i | \(0.178452\pi\) | |||||||
\(8\) | −1.01620 | + | 2.04081i | −0.359281 | + | 0.721534i | ||||
\(9\) | 0.821627 | + | 2.88530i | 0.273876 | + | 0.961765i | ||||
\(10\) | −0.906538 | − | 9.78310i | −0.286672 | − | 3.09369i | ||||
\(11\) | 1.58573 | + | 1.27603i | 0.478115 | + | 0.384737i | 0.835738 | − | 0.549129i | \(-0.185040\pi\) |
−0.357623 | + | 0.933866i | \(0.616413\pi\) | |||||||
\(12\) | −5.20456 | + | 0.482854i | −1.50243 | + | 0.139388i | ||||
\(13\) | 1.72892 | − | 2.60920i | 0.479516 | − | 0.723662i | −0.511222 | − | 0.859448i | \(-0.670807\pi\) |
0.990738 | + | 0.135787i | \(0.0433562\pi\) | |||||||
\(14\) | −0.0623128 | + | 0.284529i | −0.0166538 | + | 0.0760436i | ||||
\(15\) | 6.06198 | − | 4.57885i | 1.56520 | − | 1.18225i | ||||
\(16\) | −0.0856852 | + | 0.924691i | −0.0214213 | + | 0.231173i | ||||
\(17\) | 5.67999 | − | 3.05009i | 1.37760 | − | 0.739756i | 0.393830 | − | 0.919184i | \(-0.371150\pi\) |
0.983771 | + | 0.179428i | \(0.0574245\pi\) | |||||||
\(18\) | −4.05096 | − | 5.36186i | −0.954819 | − | 1.26380i | ||||
\(19\) | 0.0260569 | + | 0.0739441i | 0.00597786 | + | 0.0169639i | 0.946105 | − | 0.323859i | \(-0.104980\pi\) |
−0.940127 | + | 0.340823i | \(0.889294\pi\) | |||||||
\(20\) | 5.89987 | + | 11.8485i | 1.31925 | + | 2.64941i | ||||
\(21\) | −0.212408 | + | 0.0748761i | −0.0463512 | + | 0.0163393i | ||||
\(22\) | −4.34478 | − | 1.38217i | −0.926309 | − | 0.294680i | ||||
\(23\) | 0.631381 | + | 4.06742i | 0.131652 | + | 0.848116i | 0.958376 | + | 0.285509i | \(0.0921625\pi\) |
−0.826724 | + | 0.562607i | \(0.809798\pi\) | |||||||
\(24\) | 3.53458 | − | 1.76050i | 0.721494 | − | 0.359361i | ||||
\(25\) | −12.1053 | − | 7.49526i | −2.42105 | − | 1.49905i | ||||
\(26\) | −1.49996 | + | 6.84905i | −0.294167 | + | 1.34321i | ||||
\(27\) | 1.87546 | − | 4.84589i | 0.360932 | − | 0.932592i | ||||
\(28\) | −0.0601909 | − | 0.387756i | −0.0113750 | − | 0.0732790i | ||||
\(29\) | 0.589391 | − | 2.07150i | 0.109447 | − | 0.384667i | −0.887676 | − | 0.460469i | \(-0.847681\pi\) |
0.997123 | + | 0.0758021i | \(0.0241517\pi\) | |||||||
\(30\) | −8.95691 | + | 14.4695i | −1.63530 | + | 2.64176i | ||||
\(31\) | 7.18216 | − | 3.30432i | 1.28995 | − | 0.593473i | 0.350633 | − | 0.936513i | \(-0.385966\pi\) |
0.939321 | + | 0.343040i | \(0.111457\pi\) | |||||||
\(32\) | −1.81708 | − | 6.38637i | −0.321217 | − | 1.12896i | ||||
\(33\) | −0.860268 | − | 3.41881i | −0.149753 | − | 0.595139i | ||||
\(34\) | −9.39609 | + | 10.9672i | −1.61142 | + | 1.88085i | ||||
\(35\) | 0.371064 | + | 0.433108i | 0.0627213 | + | 0.0732086i | ||||
\(36\) | 7.69830 | + | 4.76423i | 1.28305 | + | 0.794039i | ||||
\(37\) | 3.21467 | − | 4.25692i | 0.528489 | − | 0.699833i | −0.452965 | − | 0.891528i | \(-0.649634\pi\) |
0.981454 | + | 0.191695i | \(0.0613986\pi\) | |||||||
\(38\) | −0.114262 | − | 0.133367i | −0.0185357 | − | 0.0216350i | ||||
\(39\) | −5.11299 | + | 1.80238i | −0.818733 | + | 0.288612i | ||||
\(40\) | −7.38971 | − | 6.73661i | −1.16842 | − | 1.06515i | ||||
\(41\) | −5.02184 | − | 1.26304i | −0.784280 | − | 0.197254i | −0.169056 | − | 0.985607i | \(-0.554072\pi\) |
−0.615224 | + | 0.788352i | \(0.710935\pi\) | |||||||
\(42\) | 0.383082 | − | 0.328278i | 0.0591109 | − | 0.0506545i | ||||
\(43\) | −0.145401 | − | 0.192542i | −0.0221734 | − | 0.0293623i | 0.786795 | − | 0.617214i | \(-0.211739\pi\) |
−0.808969 | + | 0.587851i | \(0.799974\pi\) | |||||||
\(44\) | 6.13064 | − | 0.378125i | 0.924229 | − | 0.0570045i | ||||
\(45\) | −13.1583 | + | 0.00291146i | −1.96152 | + | 0.000434014i | ||||
\(46\) | −4.61014 | − | 7.98500i | −0.679728 | − | 1.17732i | ||||
\(47\) | 1.45356 | + | 2.51764i | 0.212023 | + | 0.367235i | 0.952348 | − | 0.305015i | \(-0.0986614\pi\) |
−0.740324 | + | 0.672250i | \(0.765328\pi\) | |||||||
\(48\) | 1.08349 | − | 1.18880i | 0.156388 | − | 0.171588i | ||||
\(49\) | 2.72191 | + | 6.43077i | 0.388844 | + | 0.918681i | ||||
\(50\) | 31.3502 | + | 5.86037i | 4.43359 | + | 0.828782i | ||||
\(51\) | −11.0348 | − | 1.71166i | −1.54518 | − | 0.239681i | ||||
\(52\) | −1.44889 | − | 9.33388i | −0.200924 | − | 1.29438i | ||||
\(53\) | 4.75875 | − | 5.55444i | 0.653665 | − | 0.762961i | −0.329802 | − | 0.944050i | \(-0.606982\pi\) |
0.983467 | + | 0.181089i | \(0.0579623\pi\) | |||||||
\(54\) | 0.00386313 | + | 11.6396i | 0.000525705 | + | 1.58394i | ||||
\(55\) | −7.28650 | + | 5.15801i | −0.982512 | + | 0.695506i | ||||
\(56\) | 0.148222 | + | 0.256729i | 0.0198071 | + | 0.0343068i | ||||
\(57\) | 0.0411521 | − | 0.129409i | 0.00545073 | − | 0.0171406i | ||||
\(58\) | 0.445139 | + | 4.80381i | 0.0584496 | + | 0.630771i | ||||
\(59\) | 1.65290 | + | 2.49447i | 0.215189 | + | 0.324753i | 0.925229 | − | 0.379408i | \(-0.123872\pi\) |
−0.710040 | + | 0.704161i | \(0.751323\pi\) | |||||||
\(60\) | 4.21010 | − | 22.5358i | 0.543521 | − | 2.90936i | ||||
\(61\) | 9.40777 | − | 5.05187i | 1.20454 | − | 0.646825i | 0.256986 | − | 0.966415i | \(-0.417271\pi\) |
0.947556 | + | 0.319590i | \(0.103545\pi\) | |||||||
\(62\) | −12.3280 | + | 12.7137i | −1.56566 | + | 1.61464i | ||||
\(63\) | 0.371760 | + | 0.118175i | 0.0468374 | + | 0.0148886i | ||||
\(64\) | 7.84400 | + | 10.3871i | 0.980500 | + | 1.29839i | ||||
\(65\) | 8.93208 | + | 10.4256i | 1.10789 | + | 1.29313i | ||||
\(66\) | 4.56339 | + | 6.44499i | 0.561714 | + | 0.793324i | ||||
\(67\) | −0.659165 | + | 1.32378i | −0.0805298 | + | 0.161726i | −0.931768 | − | 0.363053i | \(-0.881734\pi\) |
0.851239 | + | 0.524779i | \(0.175852\pi\) | |||||||
\(68\) | 6.46625 | − | 18.3499i | 0.784148 | − | 2.22525i | ||||
\(69\) | 3.37216 | − | 6.28142i | 0.405960 | − | 0.756194i | ||||
\(70\) | −1.12554 | − | 0.604400i | −0.134527 | − | 0.0722396i | ||||
\(71\) | −0.790155 | − | 0.198732i | −0.0937741 | − | 0.0235851i | 0.196741 | − | 0.980455i | \(-0.436964\pi\) |
−0.290516 | + | 0.956870i | \(0.593827\pi\) | |||||||
\(72\) | −6.72327 | − | 1.25526i | −0.792344 | − | 0.147933i | ||||
\(73\) | 1.26031 | + | 4.42952i | 0.147508 | + | 0.518437i | 0.999991 | − | 0.00431876i | \(-0.00137471\pi\) |
−0.852483 | + | 0.522755i | \(0.824904\pi\) | |||||||
\(74\) | −3.27005 | + | 11.4930i | −0.380135 | + | 1.33604i | ||||
\(75\) | 8.91100 | + | 22.9944i | 1.02895 | + | 2.65516i | ||||
\(76\) | 0.208443 | + | 0.111931i | 0.0239100 | + | 0.0128394i | ||||
\(77\) | 0.252207 | − | 0.0802328i | 0.0287416 | − | 0.00914338i | ||||
\(78\) | 9.22138 | − | 7.90217i | 1.04412 | − | 0.894744i | ||||
\(79\) | 8.78712 | + | 9.06202i | 0.988628 | + | 1.01956i | 0.999808 | + | 0.0196194i | \(0.00624544\pi\) |
−0.0111791 | + | 0.999938i | \(0.503558\pi\) | |||||||
\(80\) | −3.79811 | − | 1.47139i | −0.424641 | − | 0.164507i | ||||
\(81\) | −7.64986 | + | 4.74128i | −0.849984 | + | 0.526808i | ||||
\(82\) | 11.5115 | − | 1.42544i | 1.27123 | − | 0.157413i | ||||
\(83\) | 7.20717 | + | 14.4739i | 0.791090 | + | 1.58872i | 0.808229 | + | 0.588869i | \(0.200427\pi\) |
−0.0171389 | + | 0.999853i | \(0.505456\pi\) | |||||||
\(84\) | −0.321475 | + | 0.598821i | −0.0350758 | + | 0.0653368i | ||||
\(85\) | 6.04953 | + | 27.6230i | 0.656164 | + | 2.99614i | ||||
\(86\) | 0.459512 | + | 0.284518i | 0.0495505 | + | 0.0306803i | ||||
\(87\) | −2.97663 | + | 2.24836i | −0.319128 | + | 0.241050i | ||||
\(88\) | −4.21555 | + | 1.93946i | −0.449379 | + | 0.206747i | ||||
\(89\) | −2.10938 | − | 1.92295i | −0.223593 | − | 0.203832i | 0.554145 | − | 0.832420i | \(-0.313045\pi\) |
−0.777739 | + | 0.628588i | \(0.783633\pi\) | |||||||
\(90\) | 27.4823 | − | 10.6537i | 2.89689 | − | 1.12300i | ||||
\(91\) | −0.158642 | − | 0.374807i | −0.0166302 | − | 0.0392905i | ||||
\(92\) | 9.67735 | + | 7.78733i | 1.00893 | + | 0.811885i | ||||
\(93\) | −13.3766 | − | 2.92796i | −1.38709 | − | 0.303616i | ||||
\(94\) | −5.07341 | − | 4.08256i | −0.523282 | − | 0.421083i | ||||
\(95\) | −0.343221 | + | 0.0211692i | −0.0352138 | + | 0.00217191i | ||||
\(96\) | −4.15329 | + | 10.7244i | −0.423893 | + | 1.09455i | ||||
\(97\) | 11.7274 | − | 7.26130i | 1.19074 | − | 0.737274i | 0.219553 | − | 0.975601i | \(-0.429540\pi\) |
0.971185 | + | 0.238327i | \(0.0765990\pi\) | |||||||
\(98\) | −10.8892 | − | 11.2298i | −1.09997 | − | 1.13439i | ||||
\(99\) | −2.37885 | + | 5.62371i | −0.239083 | + | 0.565204i | ||||
\(100\) | −42.2348 | + | 7.89505i | −4.22348 | + | 0.789505i | ||||
\(101\) | −9.68365 | + | 3.75146i | −0.963559 | + | 0.373285i | −0.791069 | − | 0.611727i | \(-0.790475\pi\) |
−0.172490 | + | 0.985011i | \(0.555181\pi\) | |||||||
\(102\) | 24.4342 | − | 5.35400i | 2.41935 | − | 0.530125i | ||||
\(103\) | −8.78943 | + | 5.07405i | −0.866048 | + | 0.499961i | ||||
\(104\) | 3.56794 | + | 6.17986i | 0.349865 | + | 0.605985i | ||||
\(105\) | −0.0609209 | − | 0.985952i | −0.00594528 | − | 0.0962191i | ||||
\(106\) | −5.44532 | + | 15.4527i | −0.528897 | + | 1.50090i | ||||
\(107\) | 1.47759 | + | 6.74690i | 0.142844 | + | 0.652247i | 0.992224 | + | 0.124465i | \(0.0397214\pi\) |
−0.849380 | + | 0.527782i | \(0.823024\pi\) | |||||||
\(108\) | −5.66939 | − | 14.6200i | −0.545537 | − | 1.40681i | ||||
\(109\) | −3.65029 | − | 1.96016i | −0.349634 | − | 0.187750i | 0.288869 | − | 0.957369i | \(-0.406721\pi\) |
−0.638504 | + | 0.769619i | \(0.720446\pi\) | |||||||
\(110\) | 11.0460 | − | 16.6701i | 1.05319 | − | 1.58943i | ||||
\(111\) | −8.88641 | + | 2.52946i | −0.843460 | + | 0.240086i | ||||
\(112\) | 0.0940762 | + | 0.0757029i | 0.00888937 | + | 0.00715325i | ||||
\(113\) | 6.65919 | − | 4.71394i | 0.626444 | − | 0.443451i | −0.220314 | − | 0.975429i | \(-0.570708\pi\) |
0.846758 | + | 0.531979i | \(0.178551\pi\) | |||||||
\(114\) | 0.0187594 | + | 0.303605i | 0.00175698 | + | 0.0284352i | ||||
\(115\) | −17.9169 | − | 2.21860i | −1.67076 | − | 0.206885i | ||||
\(116\) | −2.89702 | − | 5.81801i | −0.268982 | − | 0.540189i | ||||
\(117\) | 8.94884 | + | 2.84465i | 0.827320 | + | 0.262988i | ||||
\(118\) | −5.47104 | − | 3.87287i | −0.503650 | − | 0.356526i | ||||
\(119\) | 0.0773505 | − | 0.834745i | 0.00709071 | − | 0.0765210i | ||||
\(120\) | 3.18435 | + | 17.0244i | 0.290690 | + | 1.55410i | ||||
\(121\) | −1.46699 | − | 6.69846i | −0.133362 | − | 0.608951i | ||||
\(122\) | −15.5627 | + | 18.1649i | −1.40898 | + | 1.64457i | ||||
\(123\) | 5.62364 | + | 6.98693i | 0.507066 | + | 0.629990i | ||||
\(124\) | 9.29945 | − | 21.9708i | 0.835115 | − | 1.97304i | ||||
\(125\) | 29.9432 | − | 27.2968i | 2.67820 | − | 2.44150i | ||||
\(126\) | −0.872148 | + | 0.0539860i | −0.0776971 | + | 0.00480945i | ||||
\(127\) | −0.198255 | + | 0.696795i | −0.0175923 | + | 0.0618306i | −0.970125 | − | 0.242606i | \(-0.921998\pi\) |
0.952533 | + | 0.304437i | \(0.0984683\pi\) | |||||||
\(128\) | −13.4989 | − | 8.35817i | −1.19315 | − | 0.738765i | ||||
\(129\) | 4.62332e−5 | 0.417900i | 4.07060e−6 | 0.0367941i | ||||||
\(130\) | −27.0934 | − | 14.5488i | −2.37625 | − | 1.27602i | ||||
\(131\) | −13.0936 | + | 10.5364i | −1.14399 | + | 0.920566i | −0.997640 | − | 0.0686671i | \(-0.978125\pi\) |
−0.146351 | + | 0.989233i | \(0.546753\pi\) | |||||||
\(132\) | −8.86915 | − | 5.87550i | −0.771960 | − | 0.511396i | ||||
\(133\) | 0.00988658 | + | 0.00248658i | 0.000857275 | + | 0.000215613i | ||||
\(134\) | 0.305648 | − | 3.29847i | 0.0264040 | − | 0.284944i | ||||
\(135\) | 18.1920 | + | 13.7285i | 1.56572 | + | 1.18156i | ||||
\(136\) | 0.452633 | + | 14.6913i | 0.0388130 | + | 1.25977i | ||||
\(137\) | 9.81575 | − | 11.4570i | 0.838616 | − | 0.978837i | −0.161352 | − | 0.986897i | \(-0.551585\pi\) |
0.999968 | + | 0.00806044i | \(0.00256575\pi\) | |||||||
\(138\) | −1.96077 | + | 15.8492i | −0.166912 | + | 1.34917i | ||||
\(139\) | −8.03339 | + | 16.1332i | −0.681383 | + | 1.36840i | 0.236531 | + | 0.971624i | \(0.423989\pi\) |
−0.917915 | + | 0.396778i | \(0.870128\pi\) | |||||||
\(140\) | 1.70806 | + | 0.211504i | 0.144357 | + | 0.0178753i | ||||
\(141\) | 0.618223 | − | 4.99718i | 0.0520638 | − | 0.420838i | ||||
\(142\) | 1.81127 | − | 0.224283i | 0.151998 | − | 0.0188214i | ||||
\(143\) | 6.07101 | − | 1.93133i | 0.507683 | − | 0.161506i | ||||
\(144\) | −2.73841 | + | 0.512524i | −0.228201 | + | 0.0427103i | ||||
\(145\) | 8.03148 | + | 4.97288i | 0.666978 | + | 0.412976i | ||||
\(146\) | −6.21684 | − | 8.23243i | −0.514509 | − | 0.681320i | ||||
\(147\) | 2.94886 | − | 11.7301i | 0.243218 | − | 0.967481i | ||||
\(148\) | −1.48532 | − | 16.0292i | −0.122093 | − | 1.31759i | ||||
\(149\) | −10.3486 | + | 17.9243i | −0.847791 | + | 1.46842i | 0.0353847 | + | 0.999374i | \(0.488734\pi\) |
−0.883175 | + | 0.469043i | \(0.844599\pi\) | |||||||
\(150\) | −37.2200 | − | 40.8193i | −3.03900 | − | 3.33288i | ||||
\(151\) | 0.242353 | + | 2.61541i | 0.0197224 | + | 0.212839i | 0.999892 | + | 0.0146795i | \(0.00467279\pi\) |
−0.980170 | + | 0.198159i | \(0.936504\pi\) | |||||||
\(152\) | −0.177385 | − | 0.0219650i | −0.0143878 | − | 0.00178159i | ||||
\(153\) | 13.4673 | + | 13.8824i | 1.08876 | + | 1.12233i | ||||
\(154\) | −0.461878 | + | 0.371672i | −0.0372192 | + | 0.0299502i | ||||
\(155\) | 5.31896 | + | 34.2653i | 0.427229 | + | 2.75225i | ||||
\(156\) | −7.73840 | + | 14.4145i | −0.619567 | + | 1.15409i | ||||
\(157\) | −1.70504 | − | 4.02832i | −0.136077 | − | 0.321495i | 0.838729 | − | 0.544549i | \(-0.183299\pi\) |
−0.974806 | + | 0.223054i | \(0.928397\pi\) | |||||||
\(158\) | −25.6872 | − | 11.8180i | −2.04357 | − | 0.940189i | ||||
\(159\) | −12.3750 | + | 2.71159i | −0.981399 | + | 0.215043i | ||||
\(160\) | 29.1230 | 2.30237 | ||||||||
\(161\) | 0.486231 | + | 0.223702i | 0.0383203 | + | 0.0176302i | ||||
\(162\) | 12.1422 | − | 16.0937i | 0.953980 | − | 1.26444i | ||||
\(163\) | 6.29917 | − | 14.8824i | 0.493389 | − | 1.16568i | −0.466303 | − | 0.884625i | \(-0.654414\pi\) |
0.959692 | − | 0.281053i | \(-0.0906838\pi\) | |||||||
\(164\) | −13.7673 | + | 7.39288i | −1.07504 | + | 0.577287i | ||||
\(165\) | 15.4554 | + | 0.474464i | 1.20320 | + | 0.0369370i | ||||
\(166\) | −26.7664 | − | 24.4008i | −2.07747 | − | 1.89387i | ||||
\(167\) | 1.98386 | − | 4.68704i | 0.153515 | − | 0.362694i | −0.826116 | − | 0.563501i | \(-0.809454\pi\) |
0.979631 | + | 0.200806i | \(0.0643562\pi\) | |||||||
\(168\) | 0.0630416 | − | 0.509573i | 0.00486376 | − | 0.0393144i | ||||
\(169\) | 1.24845 | + | 2.94959i | 0.0960349 | + | 0.226891i | ||||
\(170\) | −34.9885 | − | 52.8029i | −2.68349 | − | 4.04980i | ||||
\(171\) | −0.191942 | + | 0.135936i | −0.0146781 | + | 0.0103953i | ||||
\(172\) | −0.715712 | − | 0.133790i | −0.0545725 | − | 0.0102014i | ||||
\(173\) | 1.84157 | + | 0.988901i | 0.140012 | + | 0.0751848i | 0.541604 | − | 0.840634i | \(-0.317817\pi\) |
−0.401592 | + | 0.915819i | \(0.631543\pi\) | |||||||
\(174\) | 4.39813 | − | 7.10498i | 0.333421 | − | 0.538627i | ||||
\(175\) | −1.68189 | + | 0.773791i | −0.127139 | + | 0.0584931i | ||||
\(176\) | −1.31581 | + | 1.35697i | −0.0991826 | + | 0.102285i | ||||
\(177\) | 0.318497 | − | 5.17319i | 0.0239397 | − | 0.388841i | ||||
\(178\) | 5.96204 | + | 2.30971i | 0.446874 | + | 0.173120i | ||||
\(179\) | −19.9821 | + | 12.3724i | −1.49353 | + | 0.924755i | −0.495096 | + | 0.868838i | \(0.664867\pi\) |
−0.998435 | + | 0.0559171i | \(0.982192\pi\) | |||||||
\(180\) | −29.3390 | + | 26.7580i | −2.18680 | + | 1.99442i | ||||
\(181\) | −0.0945394 | + | 3.06850i | −0.00702706 | + | 0.228080i | 0.989485 | + | 0.144634i | \(0.0462004\pi\) |
−0.996512 | + | 0.0834458i | \(0.973407\pi\) | |||||||
\(182\) | 0.634659 | + | 0.654514i | 0.0470441 | + | 0.0485158i | ||||
\(183\) | −18.2769 | − | 2.83503i | −1.35107 | − | 0.209571i | ||||
\(184\) | −8.94243 | − | 2.84479i | −0.659244 | − | 0.209721i | ||||
\(185\) | 14.0999 | + | 18.6712i | 1.03664 | + | 1.37274i | ||||
\(186\) | 30.3099 | − | 4.70840i | 2.22243 | − | 0.345237i | ||||
\(187\) | 12.8989 | + | 2.41123i | 0.943263 | + | 0.176326i | ||||
\(188\) | 8.36014 | + | 2.65955i | 0.609726 | + | 0.193968i | ||||
\(189\) | −0.390560 | − | 0.551340i | −0.0284091 | − | 0.0401041i | ||||
\(190\) | 0.699781 | − | 0.321950i | 0.0507675 | − | 0.0233567i | ||||
\(191\) | 12.4904 | − | 5.74648i | 0.903771 | − | 0.415801i | 0.0893001 | − | 0.996005i | \(-0.471537\pi\) |
0.814471 | + | 0.580204i | \(0.197027\pi\) | |||||||
\(192\) | −0.00249416 | − | 22.5447i | −0.000180001 | − | 1.62702i | ||||
\(193\) | 2.59767 | − | 3.92028i | 0.186985 | − | 0.282188i | −0.728083 | − | 0.685489i | \(-0.759588\pi\) |
0.915067 | + | 0.403301i | \(0.132137\pi\) | |||||||
\(194\) | −18.6201 | + | 24.6569i | −1.33684 | + | 1.77027i | ||||
\(195\) | −1.46646 | − | 23.7334i | −0.105015 | − | 1.69958i | ||||
\(196\) | 19.1443 | + | 8.80780i | 1.36745 | + | 0.629128i | ||||
\(197\) | −12.4070 | + | 4.80651i | −0.883965 | + | 0.342450i | −0.760067 | − | 0.649845i | \(-0.774834\pi\) |
−0.123898 | + | 0.992295i | \(0.539540\pi\) | |||||||
\(198\) | 0.418189 | − | 13.6716i | 0.0297194 | − | 0.971598i | ||||
\(199\) | 25.0013 | + | 1.54203i | 1.77230 | + | 0.109312i | 0.914477 | − | 0.404638i | \(-0.132603\pi\) |
0.857820 | + | 0.513950i | \(0.171818\pi\) | |||||||
\(200\) | 27.5977 | − | 17.0878i | 1.95145 | − | 1.20829i | ||||
\(201\) | 2.29273 | − | 1.14196i | 0.161717 | − | 0.0805477i | ||||
\(202\) | 17.1913 | − | 15.6719i | 1.20957 | − | 1.10267i | ||||
\(203\) | −0.182204 | − | 0.212670i | −0.0127882 | − | 0.0149265i | ||||
\(204\) | −28.0891 | + | 18.6170i | −1.96663 | + | 1.30345i | ||||
\(205\) | 11.3561 | − | 19.6694i | 0.793146 | − | 1.37377i | ||||
\(206\) | 14.2532 | − | 17.7109i | 0.993068 | − | 1.23398i | ||||
\(207\) | −11.2170 | + | 5.16362i | −0.779632 | + | 0.358897i | ||||
\(208\) | 2.26456 | + | 1.82228i | 0.157019 | + | 0.126353i | ||||
\(209\) | −0.0530358 | + | 0.150505i | −0.00366856 | + | 0.0104106i | ||||
\(210\) | 0.925077 | + | 2.01013i | 0.0638363 | + | 0.138712i | ||||
\(211\) | −3.68865 | + | 12.9643i | −0.253937 | + | 0.892497i | 0.725071 | + | 0.688674i | \(0.241807\pi\) |
−0.979008 | + | 0.203822i | \(0.934664\pi\) | |||||||
\(212\) | −0.679724 | − | 22.0620i | −0.0466836 | − | 1.51523i | ||||
\(213\) | 0.884844 | + | 1.09935i | 0.0606285 | + | 0.0753262i | ||||
\(214\) | −8.54590 | − | 12.8971i | −0.584186 | − | 0.881625i | ||||
\(215\) | 0.986794 | − | 0.382286i | 0.0672988 | − | 0.0260717i | ||||
\(216\) | 7.98368 | + | 8.75184i | 0.543221 | + | 0.595488i | ||||
\(217\) | 0.157686 | − | 1.01583i | 0.0107044 | − | 0.0689590i | ||||
\(218\) | 9.21077 | + | 1.14054i | 0.623832 | + | 0.0772472i | ||||
\(219\) | 2.88068 | − | 7.43834i | 0.194658 | − | 0.502636i | ||||
\(220\) | −5.76350 | + | 26.3170i | −0.388575 | + | 1.77429i | ||||
\(221\) | 1.86195 | − | 20.0936i | 0.125248 | − | 1.35164i | ||||
\(222\) | 16.5148 | − | 12.4743i | 1.10840 | − | 0.837220i | ||||
\(223\) | 0.340668 | − | 11.0572i | 0.0228128 | − | 0.740444i | −0.917026 | − | 0.398827i | \(-0.869417\pi\) |
0.939839 | − | 0.341617i | \(-0.110975\pi\) | |||||||
\(224\) | −0.822752 | − | 0.261736i | −0.0549724 | − | 0.0174880i | ||||
\(225\) | 11.6800 | − | 41.0855i | 0.778668 | − | 2.73904i | ||||
\(226\) | −10.0950 | + | 15.2349i | −0.671511 | + | 1.01341i | ||||
\(227\) | 9.48036 | − | 22.3982i | 0.629234 | − | 1.48662i | −0.229033 | − | 0.973419i | \(-0.573556\pi\) |
0.858266 | − | 0.513205i | \(-0.171542\pi\) | |||||||
\(228\) | −0.171319 | − | 0.372265i | −0.0113459 | − | 0.0246538i | ||||
\(229\) | −3.31693 | − | 21.3680i | −0.219189 | − | 1.41204i | −0.800975 | − | 0.598697i | \(-0.795685\pi\) |
0.581786 | − | 0.813342i | \(-0.302354\pi\) | |||||||
\(230\) | 39.2196 | − | 9.86413i | 2.58606 | − | 0.650421i | ||||
\(231\) | −0.432365 | − | 0.152306i | −0.0284476 | − | 0.0100210i | ||||
\(232\) | 3.62858 | + | 3.30789i | 0.238228 | + | 0.217174i | ||||
\(233\) | −9.86383 | + | 6.10742i | −0.646201 | + | 0.400111i | −0.810039 | − | 0.586377i | \(-0.800554\pi\) |
0.163838 | + | 0.986487i | \(0.447613\pi\) | |||||||
\(234\) | −20.9939 | + | 1.29952i | −1.37242 | + | 0.0849526i | ||||
\(235\) | −12.3658 | + | 3.11012i | −0.806654 | + | 0.202882i | ||||
\(236\) | 8.75760 | + | 2.20262i | 0.570071 | + | 0.143379i | ||||
\(237\) | −2.68914 | − | 21.6972i | −0.174678 | − | 1.40939i | ||||
\(238\) | 0.513903 | + | 1.80618i | 0.0333114 | + | 0.117077i | ||||
\(239\) | 5.08351 | − | 3.14758i | 0.328825 | − | 0.203600i | −0.352083 | − | 0.935969i | \(-0.614527\pi\) |
0.680908 | + | 0.732369i | \(0.261585\pi\) | |||||||
\(240\) | 3.71460 | + | 5.99780i | 0.239776 | + | 0.387156i | ||||
\(241\) | 6.55745 | − | 1.22580i | 0.422402 | − | 0.0789607i | 0.0317432 | − | 0.999496i | \(-0.489894\pi\) |
0.390659 | + | 0.920535i | \(0.372247\pi\) | |||||||
\(242\) | 8.48455 | + | 12.8045i | 0.545408 | + | 0.823103i | ||||
\(243\) | 15.5228 | + | 1.42974i | 0.995785 | + | 0.0917175i | ||||
\(244\) | 10.7100 | − | 30.3929i | 0.685640 | − | 1.94571i | ||||
\(245\) | −30.3964 | + | 3.76389i | −1.94195 | + | 0.240466i | ||||
\(246\) | −17.4003 | − | 10.0435i | −1.10940 | − | 0.640349i | ||||
\(247\) | 0.237985 | + | 0.0598557i | 0.0151426 | + | 0.00380853i | ||||
\(248\) | −0.555044 | + | 18.0152i | −0.0352453 | + | 1.14397i | ||||
\(249\) | 5.14298 | − | 27.5293i | 0.325923 | − | 1.74460i | ||||
\(250\) | −40.4560 | + | 81.2467i | −2.55866 | + | 5.13849i | ||||
\(251\) | 9.26919 | + | 4.26450i | 0.585066 | + | 0.269173i | 0.688231 | − | 0.725491i | \(-0.258387\pi\) |
−0.103166 | + | 0.994664i | \(0.532897\pi\) | |||||||
\(252\) | 1.06934 | − | 0.492259i | 0.0673619 | − | 0.0310094i | ||||
\(253\) | −4.18895 | + | 7.25548i | −0.263357 | + | 0.456148i | ||||
\(254\) | −0.149733 | − | 1.61587i | −0.00939506 | − | 0.101389i | ||||
\(255\) | 20.4661 | − | 44.4974i | 1.28164 | − | 2.78654i | ||||
\(256\) | 9.37040 | + | 1.75163i | 0.585650 | + | 0.109477i | ||||
\(257\) | −6.32137 | − | 2.44891i | −0.394316 | − | 0.152759i | 0.155917 | − | 0.987770i | \(-0.450167\pi\) |
−0.550233 | + | 0.835011i | \(0.685461\pi\) | |||||||
\(258\) | −0.338259 | − | 0.872861i | −0.0210591 | − | 0.0543419i | ||||
\(259\) | −0.230531 | − | 0.654200i | −0.0143245 | − | 0.0406500i | ||||
\(260\) | 41.1156 | + | 5.09121i | 2.54988 | + | 0.315744i | ||||
\(261\) | 6.46114 | − | 0.00142962i | 0.399934 | − | 8.84911e-5i | ||||
\(262\) | 18.8235 | − | 32.6033i | 1.16292 | − | 2.01424i | ||||
\(263\) | 9.57727 | 0.590560 | 0.295280 | − | 0.955411i | \(-0.404587\pi\) | ||||
0.295280 | + | 0.955411i | \(0.404587\pi\) | |||||||
\(264\) | 7.85134 | + | 1.71856i | 0.483216 | + | 0.105770i | ||||
\(265\) | 17.7203 | + | 26.7426i | 1.08855 | + | 1.64279i | ||||
\(266\) | −0.0226629 | + | 0.00280628i | −0.00138955 | + | 0.000172064i | ||||
\(267\) | 0.908967 | + | 4.85957i | 0.0556279 | + | 0.297401i | ||||
\(268\) | 1.22128 | + | 4.29235i | 0.0746014 | + | 0.262197i | ||||
\(269\) | −19.9575 | + | 6.34895i | −1.21683 | + | 0.387103i | −0.841739 | − | 0.539884i | \(-0.818468\pi\) |
−0.375094 | + | 0.926987i | \(0.622390\pi\) | |||||||
\(270\) | −49.1080 | − | 13.9548i | −2.98862 | − | 0.849263i | ||||
\(271\) | −6.96888 | + | 19.7762i | −0.423329 | + | 1.20132i | 0.515485 | + | 0.856898i | \(0.327612\pi\) |
−0.938815 | + | 0.344423i | \(0.888075\pi\) | |||||||
\(272\) | 2.33370 | + | 5.51358i | 0.141501 | + | 0.334310i | ||||
\(273\) | −0.171869 | + | 0.683670i | −0.0104020 | + | 0.0413776i | ||||
\(274\) | −11.2319 | + | 31.8739i | −0.678545 | + | 1.92557i | ||||
\(275\) | −9.63146 | − | 27.3321i | −0.580799 | − | 1.64819i | ||||
\(276\) | −5.25003 | − | 20.8643i | −0.316015 | − | 1.25588i | ||||
\(277\) | −9.80265 | + | 10.1093i | −0.588984 | + | 0.607410i | −0.945000 | − | 0.327070i | \(-0.893939\pi\) |
0.356016 | + | 0.934480i | \(0.384135\pi\) | |||||||
\(278\) | 3.72500 | − | 40.1992i | 0.223411 | − | 2.41099i | ||||
\(279\) | 15.4350 | + | 18.0077i | 0.924069 | + | 1.07809i | ||||
\(280\) | −1.26096 | + | 0.317145i | −0.0753571 | + | 0.0189531i | ||||
\(281\) | −29.7326 | − | 11.5185i | −1.77370 | − | 0.687134i | −0.998461 | − | 0.0554626i | \(-0.982337\pi\) |
−0.775236 | − | 0.631671i | \(-0.782369\pi\) | |||||||
\(282\) | 2.75236 | + | 10.9382i | 0.163901 | + | 0.651362i | ||||
\(283\) | −19.1076 | + | 6.07857i | −1.13583 | + | 0.361334i | −0.811351 | − | 0.584559i | \(-0.801267\pi\) |
−0.324479 | + | 0.945893i | \(0.605189\pi\) | |||||||
\(284\) | −2.16620 | + | 1.16322i | −0.128540 | + | 0.0690246i | ||||
\(285\) | 0.496536 | + | 0.328937i | 0.0294122 | + | 0.0194846i | ||||
\(286\) | −11.1181 | + | 8.94672i | −0.657428 | + | 0.529031i | ||||
\(287\) | −0.497595 | + | 0.453618i | −0.0293721 | + | 0.0267762i | ||||
\(288\) | 16.9336 | − | 10.4900i | 0.997822 | − | 0.618131i | ||||
\(289\) | 13.5691 | − | 20.4778i | 0.798180 | − | 1.20457i | ||||
\(290\) | −20.8000 | − | 3.88819i | −1.22142 | − | 0.228322i | ||||
\(291\) | −23.7892 | − | 2.20174i | −1.39455 | − | 0.129069i | ||||
\(292\) | 11.8161 | + | 7.31623i | 0.691486 | + | 0.428150i | ||||
\(293\) | −17.1966 | − | 12.1732i | −1.00463 | − | 0.711166i | −0.0469233 | − | 0.998898i | \(-0.514942\pi\) |
−0.957711 | + | 0.287733i | \(0.907099\pi\) | |||||||
\(294\) | 3.33243 | + | 26.8877i | 0.194352 | + | 1.56812i | ||||
\(295\) | −12.5073 | + | 3.97887i | −0.728204 | + | 0.231659i | ||||
\(296\) | 5.42079 | + | 10.8864i | 0.315077 | + | 0.632760i | ||||
\(297\) | 9.15746 | − | 5.29112i | 0.531370 | − | 0.307022i | ||||
\(298\) | 7.11162 | − | 45.8138i | 0.411965 | − | 2.65392i | ||||
\(299\) | 11.7043 | + | 5.38484i | 0.676878 | + | 0.311413i | ||||
\(300\) | 66.6216 | + | 33.1644i | 3.84640 | + | 1.91475i | ||||
\(301\) | −0.0313135 | + | 0.00193135i | −0.00180488 | + | 0.000111321i | ||||
\(302\) | −2.62259 | − | 5.26687i | −0.150913 | − | 0.303074i | ||||
\(303\) | 17.3011 | + | 4.92052i | 0.993922 | + | 0.282676i | ||||
\(304\) | −0.0706081 | + | 0.0177587i | −0.00404965 | + | 0.00101853i | ||||
\(305\) | 10.0198 | + | 45.7520i | 0.573734 | + | 2.61975i | ||||
\(306\) | −39.3636 | − | 18.0996i | −2.25027 | − | 1.03468i | ||||
\(307\) | 5.67399 | + | 4.56584i | 0.323832 | + | 0.260586i | 0.775151 | − | 0.631776i | \(-0.217674\pi\) |
−0.451319 | + | 0.892363i | \(0.649046\pi\) | |||||||
\(308\) | 0.399342 | − | 0.691681i | 0.0227546 | − | 0.0394122i | ||||
\(309\) | 17.4453 | + | 2.15903i | 0.992429 | + | 0.122823i | ||||
\(310\) | −38.8374 | − | 67.2683i | −2.20581 | − | 3.82058i | ||||
\(311\) | 1.24983 | − | 8.05155i | 0.0708714 | − | 0.456561i | −0.926000 | − | 0.377523i | \(-0.876776\pi\) |
0.996872 | − | 0.0790383i | \(-0.0251849\pi\) | |||||||
\(312\) | 1.51751 | − | 12.2662i | 0.0859119 | − | 0.694437i | ||||
\(313\) | 17.6884 | + | 5.62710i | 0.999810 | + | 0.318062i | 0.757995 | − | 0.652260i | \(-0.226179\pi\) |
0.241814 | + | 0.970323i | \(0.422257\pi\) | |||||||
\(314\) | 6.82113 | + | 7.03453i | 0.384939 | + | 0.396981i | ||||
\(315\) | −0.944768 | + | 1.42648i | −0.0532316 | + | 0.0803732i | ||||
\(316\) | 38.0201 | + | 2.34500i | 2.13880 | + | 0.131917i | ||||
\(317\) | 12.8796 | + | 19.4373i | 0.723392 | + | 1.09171i | 0.991725 | + | 0.128382i | \(0.0409784\pi\) |
−0.268332 | + | 0.963326i | \(0.586473\pi\) | |||||||
\(318\) | 23.6543 | − | 15.6777i | 1.32647 | − | 0.879159i | ||||
\(319\) | 3.57790 | − | 2.53275i | 0.200324 | − | 0.141807i | ||||
\(320\) | −53.2350 | + | 20.6234i | −2.97593 | + | 1.15288i | ||||
\(321\) | 4.99883 | − | 10.8685i | 0.279007 | − | 0.606618i | ||||
\(322\) | −1.19664 | − | 0.0738064i | −0.0666863 | − | 0.00411307i | ||||
\(323\) | 0.373539 | + | 0.340526i | 0.0207843 | + | 0.0189474i | ||||
\(324\) | −7.42108 | + | 26.1263i | −0.412282 | + | 1.45146i | ||||
\(325\) | −40.4856 | + | 18.6263i | −2.24574 | + | 1.03320i | ||||
\(326\) | −1.11479 | + | 36.1831i | −0.0617426 | + | 2.00400i | ||||
\(327\) | 3.00017 | + | 6.51917i | 0.165910 | + | 0.360511i | ||||
\(328\) | 7.68083 | − | 8.96510i | 0.424103 | − | 0.495015i | ||||
\(329\) | 0.377296 | + | 0.0232708i | 0.0208010 | + | 0.00128296i | ||||
\(330\) | −32.6667 | + | 11.5154i | −1.79824 | + | 0.633900i | ||||
\(331\) | −5.18996 | − | 23.6981i | −0.285266 | − | 1.30256i | −0.870688 | − | 0.491835i | \(-0.836326\pi\) |
0.585422 | − | 0.810729i | \(-0.300929\pi\) | |||||||
\(332\) | 45.4993 | + | 17.6265i | 2.49710 | + | 0.967382i | ||||
\(333\) | 14.9237 | + | 5.77768i | 0.817815 | + | 0.316615i | ||||
\(334\) | −0.351091 | + | 11.3955i | −0.0192109 | + | 0.623533i | ||||
\(335\) | −4.79338 | − | 4.36974i | −0.261890 | − | 0.238745i | ||||
\(336\) | −0.0510370 | − | 0.202828i | −0.00278430 | − | 0.0110651i | ||||
\(337\) | 5.50673 | − | 4.43125i | 0.299971 | − | 0.241386i | −0.465211 | − | 0.885200i | \(-0.654022\pi\) |
0.765182 | + | 0.643814i | \(0.222649\pi\) | |||||||
\(338\) | −4.99452 | − | 5.15077i | −0.271666 | − | 0.280165i | ||||
\(339\) | −14.1248 | − | 0.433617i | −0.767154 | − | 0.0235508i | ||||
\(340\) | 69.6504 | + | 49.3045i | 3.77732 | + | 2.67391i | ||||
\(341\) | 15.6053 | + | 3.92490i | 0.845077 | + | 0.212545i | ||||
\(342\) | 0.290923 | − | 0.439258i | 0.0157313 | − | 0.0237523i | ||||
\(343\) | 1.78727 | + | 0.334098i | 0.0965033 | + | 0.0180396i | ||||
\(344\) | 0.540696 | − | 0.101074i | 0.0291524 | − | 0.00544953i | ||||
\(345\) | 22.4515 | + | 21.7656i | 1.20875 | + | 1.17182i | ||||
\(346\) | −4.64683 | − | 0.575402i | −0.249815 | − | 0.0309338i | ||||
\(347\) | −8.79264 | + | 1.64363i | −0.472014 | + | 0.0882346i | −0.414382 | − | 0.910103i | \(-0.636002\pi\) |
−0.0576321 | + | 0.998338i | \(0.518355\pi\) | |||||||
\(348\) | −2.06729 | + | 11.0658i | −0.110819 | + | 0.593190i | ||||
\(349\) | 1.45142 | − | 6.62737i | 0.0776926 | − | 0.354755i | −0.921763 | − | 0.387754i | \(-0.873251\pi\) |
0.999455 | + | 0.0329991i | \(0.0105058\pi\) | |||||||
\(350\) | 2.88693 | − | 2.97725i | 0.154313 | − | 0.159140i | ||||
\(351\) | −9.40138 | − | 13.2716i | −0.501809 | − | 0.708385i | ||||
\(352\) | 5.26781 | − | 12.4457i | 0.280775 | − | 0.663357i | ||||
\(353\) | −9.68744 | + | 19.4550i | −0.515611 | + | 1.03549i | 0.472441 | + | 0.881362i | \(0.343373\pi\) |
−0.988052 | + | 0.154123i | \(0.950745\pi\) | |||||||
\(354\) | 3.52085 | + | 11.0633i | 0.187131 | + | 0.588010i | ||||
\(355\) | 1.78682 | − | 3.09485i | 0.0948343 | − | 0.164258i | ||||
\(356\) | −8.61368 | −0.456524 | ||||||||
\(357\) | −0.978097 | + | 1.07316i | −0.0517664 | + | 0.0567977i | ||||
\(358\) | 31.7263 | − | 42.0125i | 1.67679 | − | 2.22043i | ||||
\(359\) | 20.3132 | − | 23.7097i | 1.07209 | − | 1.25135i | 0.105665 | − | 0.994402i | \(-0.466303\pi\) |
0.966425 | − | 0.256948i | \(-0.0827168\pi\) | |||||||
\(360\) | 13.3655 | − | 26.8565i | 0.704425 | − | 1.41546i | ||||
\(361\) | 14.7977 | − | 11.9077i | 0.778829 | − | 0.626721i | ||||
\(362\) | −2.28554 | − | 6.48589i | −0.120125 | − | 0.340891i | ||||
\(363\) | −4.96294 | + | 10.7904i | −0.260487 | + | 0.566351i | ||||
\(364\) | −1.11580 | − | 0.513349i | −0.0584837 | − | 0.0269068i | ||||
\(365\) | −20.1994 | −1.05729 | ||||||||
\(366\) | 40.4703 | − | 8.86783i | 2.11542 | − | 0.463529i | ||||
\(367\) | −26.9909 | + | 19.1065i | −1.40892 | + | 0.997351i | −0.412661 | + | 0.910885i | \(0.635400\pi\) |
−0.996255 | + | 0.0864656i | \(0.972443\pi\) | |||||||
\(368\) | −3.81521 | + | 0.235314i | −0.198881 | + | 0.0122666i | ||||
\(369\) | −0.481828 | − | 15.5272i | −0.0250830 | − | 0.808316i | ||||
\(370\) | −44.5601 | − | 27.5904i | −2.31657 | − | 1.43436i | ||||
\(371\) | −0.260272 | − | 0.914761i | −0.0135126 | − | 0.0474920i | ||||
\(372\) | −35.7845 | + | 20.6655i | −1.85534 | + | 1.07145i | ||||
\(373\) | −12.0082 | + | 28.3705i | −0.621761 | + | 1.46897i | 0.244637 | + | 0.969615i | \(0.421331\pi\) |
−0.866398 | + | 0.499354i | \(0.833571\pi\) | |||||||
\(374\) | −28.8940 | + | 5.40123i | −1.49408 | + | 0.279291i | ||||
\(375\) | −69.8792 | + | 6.48306i | −3.60855 | + | 0.334784i | ||||
\(376\) | −6.61512 | + | 0.408006i | −0.341149 | + | 0.0210413i | ||||
\(377\) | −4.38594 | − | 5.11929i | −0.225887 | − | 0.263657i | ||||
\(378\) | 1.26193 | + | 0.835583i | 0.0649067 | + | 0.0429778i | ||||
\(379\) | −0.128522 | − | 4.17147i | −0.00660171 | − | 0.214274i | −0.997068 | − | 0.0765194i | \(-0.975619\pi\) |
0.990466 | − | 0.137755i | \(-0.0439886\pi\) | |||||||
\(380\) | −0.722397 | + | 0.744997i | −0.0370582 | + | 0.0382175i | ||||
\(381\) | 1.00126 | − | 0.756288i | 0.0512960 | − | 0.0387458i | ||||
\(382\) | −21.4395 | + | 22.1102i | −1.09694 | + | 1.13126i | ||||
\(383\) | −15.4256 | − | 15.9082i | −0.788211 | − | 0.812869i | 0.197679 | − | 0.980267i | \(-0.436660\pi\) |
−0.985889 | + | 0.167397i | \(0.946464\pi\) | |||||||
\(384\) | 9.93691 | + | 25.6417i | 0.507091 | + | 1.30852i | ||||
\(385\) | 0.0357478 | + | 1.16028i | 0.00182188 | + | 0.0591333i | ||||
\(386\) | −2.25367 | + | 10.2906i | −0.114709 | + | 0.523777i | ||||
\(387\) | 0.436074 | − | 0.577721i | 0.0221669 | − | 0.0293672i | ||||
\(388\) | 11.3913 | − | 40.0362i | 0.578305 | − | 2.03253i | ||||
\(389\) | 7.00299 | − | 5.63528i | 0.355066 | − | 0.285720i | −0.432897 | − | 0.901443i | \(-0.642509\pi\) |
0.787962 | + | 0.615723i | \(0.211136\pi\) | |||||||
\(390\) | 22.2680 | + | 48.3869i | 1.12758 | + | 2.45017i | ||||
\(391\) | 15.9922 | + | 21.1772i | 0.808763 | + | 1.07097i | ||||
\(392\) | −15.8900 | − | 0.980059i | −0.802564 | − | 0.0495005i | ||||
\(393\) | 29.0957 | − | 0.899651i | 1.46768 | − | 0.0453814i | ||||
\(394\) | 22.0261 | − | 20.0794i | 1.10966 | − | 1.01159i | ||||
\(395\) | −48.7769 | + | 26.1926i | −2.45423 | + | 1.31789i | ||||
\(396\) | 6.12811 | + | 17.3780i | 0.307949 | + | 0.873279i | ||||
\(397\) | 26.3871 | + | 18.6791i | 1.32433 | + | 0.937476i | 0.999964 | − | 0.00845511i | \(-0.00269138\pi\) |
0.324368 | + | 0.945931i | \(0.394848\pi\) | |||||||
\(398\) | −53.4698 | + | 17.0100i | −2.68020 | + | 0.852633i | ||||
\(399\) | −0.0110713 | − | 0.0137553i | −0.000554261 | − | 0.000688626i | ||||
\(400\) | 7.96803 | − | 10.5514i | 0.398402 | − | 0.527569i | ||||
\(401\) | 28.2472 | − | 10.9430i | 1.41060 | − | 0.546469i | 0.468997 | − | 0.883199i | \(-0.344615\pi\) |
0.941601 | + | 0.336731i | \(0.109321\pi\) | |||||||
\(402\) | −3.86492 | + | 4.24056i | −0.192765 | + | 0.211500i | ||||
\(403\) | 3.79574 | − | 24.4526i | 0.189079 | − | 1.21807i | ||||
\(404\) | −13.9691 | + | 28.0537i | −0.694987 | + | 1.39572i | ||||
\(405\) | −10.8196 | − | 37.9632i | −0.537631 | − | 1.88640i | ||||
\(406\) | 0.552674 | + | 0.296780i | 0.0274288 | + | 0.0147289i | ||||
\(407\) | 10.5295 | − | 2.64829i | 0.521930 | − | 0.131271i | ||||
\(408\) | 14.7067 | − | 20.7804i | 0.728091 | − | 1.02879i | ||||
\(409\) | 25.2469 | + | 29.4683i | 1.24838 | + | 1.45711i | 0.838434 | + | 0.545003i | \(0.183472\pi\) |
0.409945 | + | 0.912110i | \(0.365548\pi\) | |||||||
\(410\) | −7.80399 | + | 50.2742i | −0.385412 | + | 2.48286i | ||||
\(411\) | −25.5255 | + | 5.59313i | −1.25908 | + | 0.275889i | ||||
\(412\) | −9.28593 | + | 29.1852i | −0.457485 | + | 1.43785i | ||||
\(413\) | 0.389103 | 0.0191465 | ||||||||
\(414\) | 19.2513 | − | 19.8623i | 0.946148 | − | 0.976180i | ||||
\(415\) | −69.7115 | + | 13.0313i | −3.42200 | + | 0.639683i | ||||
\(416\) | −19.8049 | − | 6.30039i | −0.971015 | − | 0.308902i | ||||
\(417\) | 27.9420 | − | 13.9173i | 1.36833 | − | 0.681535i | ||||
\(418\) | −0.0110079 | − | 0.357286i | −0.000538412 | − | 0.0174754i | ||||
\(419\) | 2.76389 | + | 5.55064i | 0.135025 | + | 0.271166i | 0.952348 | − | 0.305013i | \(-0.0986607\pi\) |
−0.817323 | + | 0.576179i | \(0.804543\pi\) | |||||||
\(420\) | −2.14035 | − | 2.07497i | −0.104439 | − | 0.101248i | ||||
\(421\) | −3.50820 | + | 22.6002i | −0.170979 | + | 1.10147i | 0.734976 | + | 0.678093i | \(0.237193\pi\) |
−0.905955 | + | 0.423373i | \(0.860846\pi\) | |||||||
\(422\) | −2.78586 | − | 30.0642i | −0.135613 | − | 1.46350i | ||||
\(423\) | −6.06984 | + | 6.26250i | −0.295126 | + | 0.304493i | ||||
\(424\) | 6.49969 | + | 15.3561i | 0.315653 | + | 0.745759i | ||||
\(425\) | −91.6190 | − | 5.65087i | −4.44417 | − | 0.274107i | ||||
\(426\) | −2.73782 | − | 1.58028i | −0.132648 | − | 0.0765648i | ||||
\(427\) | 0.128116 | − | 1.38259i | 0.00619995 | − | 0.0669081i | ||||
\(428\) | 17.0120 | + | 12.0426i | 0.822308 | + | 0.582100i | ||||
\(429\) | −10.4077 | − | 3.66624i | −0.502488 | − | 0.177008i | ||||
\(430\) | −1.75184 | + | 1.59702i | −0.0844813 | + | 0.0770149i | ||||
\(431\) | 2.24808 | + | 6.37959i | 0.108286 | + | 0.307294i | 0.984698 | − | 0.174268i | \(-0.0557559\pi\) |
−0.876412 | + | 0.481562i | \(0.840070\pi\) | |||||||
\(432\) | 4.32025 | + | 2.14944i | 0.207858 | + | 0.103415i | ||||
\(433\) | −36.7440 | + | 4.54989i | −1.76580 | + | 0.218654i | −0.939019 | − | 0.343866i | \(-0.888263\pi\) |
−0.826784 | + | 0.562520i | \(0.809832\pi\) | |||||||
\(434\) | 0.492634 | + | 2.24943i | 0.0236472 | + | 0.107976i | ||||
\(435\) | −5.91219 | − | 15.2561i | −0.283468 | − | 0.731475i | ||||
\(436\) | −12.1258 | + | 3.04976i | −0.580721 | + | 0.146057i | ||||
\(437\) | −0.284310 | + | 0.152671i | −0.0136004 | + | 0.00730326i | ||||
\(438\) | 0.00197677 | + | 17.8680i | 9.44539e−5 | + | 0.853767i | ||||
\(439\) | 1.21953 | + | 39.5825i | 0.0582048 | + | 1.88917i | 0.355919 | + | 0.934517i | \(0.384168\pi\) |
−0.297714 | + | 0.954655i | \(0.596224\pi\) | |||||||
\(440\) | −3.12195 | − | 20.1119i | −0.148833 | − | 0.958798i | ||||
\(441\) | −16.3183 | + | 13.1372i | −0.777060 | + | 0.625581i | ||||
\(442\) | 12.3704 | + | 43.4776i | 0.588402 | + | 2.06802i | ||||
\(443\) | 17.8634 | + | 12.6452i | 0.848715 | + | 0.600793i | 0.917901 | − | 0.396811i | \(-0.129883\pi\) |
−0.0691851 | + | 0.997604i | \(0.522040\pi\) | |||||||
\(444\) | −14.6755 | + | 23.7076i | −0.696468 | + | 1.12511i | ||||
\(445\) | 10.6442 | − | 6.59060i | 0.504582 | − | 0.312424i | ||||
\(446\) | 8.23583 | + | 23.3716i | 0.389978 | + | 1.10668i | ||||
\(447\) | 33.0116 | − | 13.9769i | 1.56140 | − | 0.661086i | ||||
\(448\) | 1.68929 | − | 0.104192i | 0.0798113 | − | 0.00492259i | ||||
\(449\) | −2.10161 | + | 2.78298i | −0.0991812 | + | 0.131337i | −0.844901 | − | 0.534922i | \(-0.820341\pi\) |
0.745720 | + | 0.666259i | \(0.232106\pi\) | |||||||
\(450\) | 8.84930 | + | 95.2697i | 0.417160 | + | 4.49106i | ||||
\(451\) | −6.35159 | − | 8.41086i | −0.299085 | − | 0.396052i | ||||
\(452\) | 5.26731 | − | 24.0513i | 0.247753 | − | 1.13128i | ||||
\(453\) | 2.39453 | − | 3.86826i | 0.112505 | − | 0.181747i | ||||
\(454\) | −1.67778 | + | 54.4562i | −0.0787421 | + | 2.55576i | ||||
\(455\) | 1.77160 | − | 0.219372i | 0.0830541 | − | 0.0102843i | ||||
\(456\) | 0.222279 | + | 0.215489i | 0.0104092 | + | 0.0100912i | ||||
\(457\) | 25.6358 | − | 18.1472i | 1.19919 | − | 0.848890i | 0.207589 | − | 0.978216i | \(-0.433438\pi\) |
0.991602 | + | 0.129326i | \(0.0412815\pi\) | |||||||
\(458\) | 24.2192 | + | 41.9489i | 1.13169 | + | 1.96014i | ||||
\(459\) | −4.12782 | − | 33.2449i | −0.192670 | − | 1.55174i | ||||
\(460\) | −44.4679 | + | 31.4782i | −2.07333 | + | 1.46768i | ||||
\(461\) | 3.54452 | − | 4.69371i | 0.165085 | − | 0.218608i | −0.707954 | − | 0.706259i | \(-0.750381\pi\) |
0.873039 | + | 0.487651i | \(0.162146\pi\) | |||||||
\(462\) | 1.02636 | − | 0.0317354i | 0.0477505 | − | 0.00147646i | ||||
\(463\) | 0.194424 | + | 0.0753204i | 0.00903567 | + | 0.00350044i | 0.365755 | − | 0.930711i | \(-0.380811\pi\) |
−0.356720 | + | 0.934212i | \(0.616105\pi\) | |||||||
\(464\) | 1.86499 | + | 0.722501i | 0.0865800 | + | 0.0335413i | ||||
\(465\) | 28.4082 | − | 52.9167i | 1.31740 | − | 2.45396i | ||||
\(466\) | 15.6612 | − | 20.7388i | 0.725490 | − | 0.960705i | ||||
\(467\) | 9.65162 | − | 6.83224i | 0.446624 | − | 0.316158i | −0.332416 | − | 0.943133i | \(-0.607864\pi\) |
0.779040 | + | 0.626974i | \(0.215707\pi\) | |||||||
\(468\) | 25.7406 | − | 11.8494i | 1.18986 | − | 0.547741i | ||||
\(469\) | 0.0961454 | + | 0.166529i | 0.00443958 | + | 0.00768958i | ||||
\(470\) | 23.3126 | − | 16.5026i | 1.07533 | − | 0.761210i | ||||
\(471\) | −1.84720 | + | 7.34789i | −0.0851146 | + | 0.338573i | ||||
\(472\) | −6.77041 | + | 0.838358i | −0.311633 | + | 0.0385886i | ||||
\(473\) | 0.0151230 | − | 0.490854i | 0.000695358 | − | 0.0225695i | ||||
\(474\) | 23.1743 | + | 43.1445i | 1.06443 | + | 1.98169i | ||||
\(475\) | 0.238805 | − | 1.09042i | 0.0109571 | − | 0.0500317i | ||||
\(476\) | −1.52458 | − | 2.01886i | −0.0698788 | − | 0.0925345i | ||||
\(477\) | 19.9361 | + | 9.16673i | 0.912812 | + | 0.419716i | ||||
\(478\) | −8.07128 | + | 10.6881i | −0.369172 | + | 0.488863i | ||||
\(479\) | 14.8590 | − | 0.916469i | 0.678923 | − | 0.0418746i | 0.281571 | − | 0.959541i | \(-0.409145\pi\) |
0.397353 | + | 0.917666i | \(0.369929\pi\) | |||||||
\(480\) | −40.2573 | − | 30.3939i | −1.83749 | − | 1.38729i | ||||
\(481\) | −5.54924 | − | 15.7476i | −0.253023 | − | 0.718028i | ||||
\(482\) | −12.7051 | + | 7.86666i | −0.578701 | + | 0.358317i | ||||
\(483\) | −0.438663 | − | 0.816678i | −0.0199599 | − | 0.0371601i | ||||
\(484\) | −16.8899 | − | 11.9561i | −0.767723 | − | 0.543460i | ||||
\(485\) | 16.5564 | + | 58.1898i | 0.751788 | + | 2.64226i | ||||
\(486\) | −33.5804 | + | 9.57453i | −1.52324 | + | 0.434310i | ||||
\(487\) | −3.05703 | − | 19.6937i | −0.138527 | − | 0.892407i | −0.950951 | − | 0.309340i | \(-0.899892\pi\) |
0.812424 | − | 0.583067i | \(-0.198147\pi\) | |||||||
\(488\) | 0.749696 | + | 24.3331i | 0.0339371 | + | 1.10151i | ||||
\(489\) | −24.2394 | + | 13.9982i | −1.09614 | + | 0.633019i | ||||
\(490\) | 60.4453 | − | 32.4585i | 2.73064 | − | 1.46632i | ||||
\(491\) | −4.65643 | + | 1.17114i | −0.210142 | + | 0.0528527i | −0.347549 | − | 0.937662i | \(-0.612986\pi\) |
0.137407 | + | 0.990515i | \(0.456123\pi\) | |||||||
\(492\) | 26.7463 | + | 4.14877i | 1.20582 | + | 0.187041i | ||||
\(493\) | −2.97051 | − | 13.5638i | −0.133785 | − | 0.610882i | ||||
\(494\) | −0.545531 | + | 0.0675514i | −0.0245446 | + | 0.00303928i | ||||
\(495\) | −20.8692 | − | 16.7857i | −0.937999 | − | 0.754463i | ||||
\(496\) | 2.44007 | + | 6.92441i | 0.109562 | + | 0.310915i | ||||
\(497\) | −0.0782935 | + | 0.0713739i | −0.00351194 | + | 0.00320156i | ||||
\(498\) | 11.5341 | + | 61.6642i | 0.516855 | + | 2.76324i | ||||
\(499\) | 27.4474 | + | 19.4296i | 1.22872 | + | 0.869790i | 0.994738 | − | 0.102452i | \(-0.0326687\pi\) |
0.233978 | + | 0.972242i | \(0.424826\pi\) | |||||||
\(500\) | 11.2820 | − | 121.752i | 0.504546 | − | 5.44492i | ||||
\(501\) | −7.63392 | + | 4.40857i | −0.341058 | + | 0.196960i | ||||
\(502\) | −22.8120 | − | 1.40700i | −1.01815 | − | 0.0627973i | ||||
\(503\) | −4.58445 | − | 10.8312i | −0.204411 | − | 0.482939i | 0.786479 | − | 0.617617i | \(-0.211902\pi\) |
−0.990889 | + | 0.134678i | \(0.957000\pi\) | |||||||
\(504\) | −0.618955 | + | 0.638601i | −0.0275704 | + | 0.0284455i | ||||
\(505\) | −4.20275 | − | 45.3549i | −0.187020 | − | 2.01827i | ||||
\(506\) | 2.87867 | − | 18.5447i | 0.127973 | − | 0.824413i | ||||
\(507\) | 1.35255 | − | 5.38022i | 0.0600687 | − | 0.238944i | ||||
\(508\) | 0.974481 | + | 1.95702i | 0.0432356 | + | 0.0868288i | ||||
\(509\) | 0.450036 | + | 14.6070i | 0.0199475 | + | 0.647442i | 0.955625 | + | 0.294586i | \(0.0951817\pi\) |
−0.935678 | + | 0.352856i | \(0.885210\pi\) | |||||||
\(510\) | −6.74194 | + | 109.506i | −0.298538 | + | 4.84901i | ||||
\(511\) | 0.570653 | + | 0.181538i | 0.0252442 | + | 0.00803075i | ||||
\(512\) | 10.2233 | − | 1.91107i | 0.451811 | − | 0.0844582i | ||||
\(513\) | 0.407194 | + | 0.0124102i | 0.0179780 | + | 0.000547925i | ||||
\(514\) | 15.1855 | 0.669805 | ||||||||
\(515\) | −10.8556 | − | 43.1700i | −0.478357 | − | 1.90230i | ||||
\(516\) | 0.849716 | + | 0.931887i | 0.0374067 | + | 0.0410240i | ||||
\(517\) | −0.907633 | + | 5.84707i | −0.0399176 | + | 0.257154i | ||||
\(518\) | 1.01090 | + | 1.17993i | 0.0444164 | + | 0.0518431i | ||||
\(519\) | −1.51358 | − | 3.28892i | −0.0664389 | − | 0.144367i | ||||
\(520\) | −30.3534 | + | 7.63418i | −1.33108 | + | 0.334781i | ||||
\(521\) | 17.9713 | + | 9.65039i | 0.787337 | + | 0.422791i | 0.816905 | − | 0.576772i | \(-0.195688\pi\) |
−0.0295684 | + | 0.999563i | \(0.509413\pi\) | |||||||
\(522\) | −13.4947 | + | 5.23130i | −0.590646 | + | 0.228968i | ||||
\(523\) | 1.23604 | − | 2.48230i | 0.0540482 | − | 0.108543i | −0.866492 | − | 0.499190i | \(-0.833631\pi\) |
0.920541 | + | 0.390647i | \(0.127749\pi\) | |||||||
\(524\) | −7.77968 | + | 50.1175i | −0.339857 | + | 2.18939i | ||||
\(525\) | 3.13247 | + | 0.685658i | 0.136712 | + | 0.0299246i | ||||
\(526\) | −20.0047 | + | 7.74987i | −0.872247 | + | 0.337910i | ||||
\(527\) | 30.7161 | − | 40.6747i | 1.33802 | − | 1.77182i | ||||
\(528\) | 3.23506 | − | 0.502540i | 0.140788 | − | 0.0218703i | ||||
\(529\) | 5.77239 | − | 1.83633i | 0.250974 | − | 0.0798404i | ||||
\(530\) | −58.6536 | − | 41.5200i | −2.54775 | − | 1.80352i | ||||
\(531\) | −5.83922 | + | 6.81862i | −0.253401 | + | 0.295903i | ||||
\(532\) | 0.0271039 | − | 0.0145545i | 0.00117510 | − | 0.000631017i | ||||
\(533\) | −11.9779 | + | 10.9193i | −0.518820 | + | 0.472967i | ||||
\(534\) | −5.83095 | − | 9.41499i | −0.252330 | − | 0.407426i | ||||
\(535\) | −30.2364 | − | 1.86492i | −1.30724 | − | 0.0806275i | ||||
\(536\) | −2.03174 | − | 2.69046i | −0.0877577 | − | 0.116210i | ||||
\(537\) | 40.5340 | + | 3.75151i | 1.74917 | + | 0.161889i | ||||
\(538\) | 36.5492 | − | 29.4110i | 1.57575 | − | 1.26800i | ||||
\(539\) | −3.88964 | + | 13.6707i | −0.167539 | + | 0.588838i | ||||
\(540\) | 68.4817 | − | 6.36869i | 2.94698 | − | 0.274065i | ||||
\(541\) | 7.31884 | − | 33.4189i | 0.314662 | − | 1.43679i | −0.504592 | − | 0.863358i | \(-0.668357\pi\) |
0.819254 | − | 0.573431i | \(-0.194388\pi\) | |||||||
\(542\) | −1.44643 | − | 46.9472i | −0.0621294 | − | 2.01656i | ||||
\(543\) | 3.33309 | − | 4.14299i | 0.143037 | − | 0.177793i | ||||
\(544\) | −29.8000 | − | 30.7323i | −1.27766 | − | 1.31764i | ||||
\(545\) | 12.6508 | − | 13.0465i | 0.541899 | − | 0.558852i | ||||
\(546\) | −0.194226 | − | 1.56710i | −0.00831209 | − | 0.0670659i | ||||
\(547\) | −2.69725 | + | 2.78163i | −0.115326 | + | 0.118934i | −0.773108 | − | 0.634275i | \(-0.781299\pi\) |
0.657782 | + | 0.753209i | \(0.271495\pi\) | |||||||
\(548\) | −1.40205 | − | 45.5067i | −0.0598925 | − | 1.94395i | ||||
\(549\) | 22.3058 | + | 22.9934i | 0.951988 | + | 0.981336i | ||||
\(550\) | 42.2349 | + | 49.2968i | 1.80090 | + | 2.10202i | ||||
\(551\) | 0.168533 | − | 0.0103947i | 0.00717973 | − | 0.000442831i | ||||
\(552\) | 9.39237 | + | 13.2651i | 0.399766 | + | 0.564600i | ||||
\(553\) | 1.61339 | − | 0.301595i | 0.0686084 | − | 0.0128251i | ||||
\(554\) | 12.2951 | − | 29.0483i | 0.522368 | − | 1.23414i | ||||
\(555\) | −0.00448335 | − | 40.5249i | −0.000190308 | − | 1.72019i | ||||
\(556\) | 14.8840 | + | 52.3118i | 0.631222 | + | 2.21851i | ||||
\(557\) | −15.0738 | − | 9.33332i | −0.638699 | − | 0.395465i | 0.168536 | − | 0.985695i | \(-0.446096\pi\) |
−0.807235 | + | 0.590230i | \(0.799037\pi\) | |||||||
\(558\) | −46.8119 | − | 25.1241i | −1.98171 | − | 1.06359i | ||||
\(559\) | −0.753765 | + | 0.0464906i | −0.0318809 | + | 0.00196634i | ||||
\(560\) | −0.432285 | + | 0.306009i | −0.0182674 | + | 0.0129312i | ||||
\(561\) | −15.3140 | − | 16.7949i | −0.646558 | − | 0.709083i | ||||
\(562\) | 71.4252 | 3.01289 | ||||||||
\(563\) | 15.3362 | + | 7.05577i | 0.646344 | + | 0.297365i | 0.713792 | − | 0.700358i | \(-0.246976\pi\) |
−0.0674487 | + | 0.997723i | \(0.521486\pi\) | |||||||
\(564\) | −8.78078 | − | 12.4013i | −0.369738 | − | 0.522190i | ||||
\(565\) | 11.8934 | + | 33.7511i | 0.500360 | + | 1.41992i | ||||
\(566\) | 34.9927 | − | 28.1585i | 1.47085 | − | 1.18359i | ||||
\(567\) | −0.0355210 | + | 1.16973i | −0.00149174 | + | 0.0491242i | ||||
\(568\) | 1.20853 | − | 1.41060i | 0.0507088 | − | 0.0591875i | ||||
\(569\) | 21.3927 | − | 28.3285i | 0.896827 | − | 1.18759i | −0.0847268 | − | 0.996404i | \(-0.527002\pi\) |
0.981554 | − | 0.191187i | \(-0.0612335\pi\) | |||||||
\(570\) | −1.30332 | − | 0.285281i | −0.0545902 | − | 0.0119491i | ||||
\(571\) | 23.5147 | 0.984059 | 0.492029 | − | 0.870579i | \(-0.336255\pi\) | ||||
0.492029 | + | 0.870579i | \(0.336255\pi\) | |||||||
\(572\) | 9.61277 | − | 16.6498i | 0.401930 | − | 0.696164i | ||||
\(573\) | −23.2630 | − | 5.09197i | −0.971824 | − | 0.212720i | ||||
\(574\) | 0.672298 | − | 1.35016i | 0.0280612 | − | 0.0563544i | ||||
\(575\) | 22.8433 | − | 53.9695i | 0.952633 | − | 2.25069i | ||||
\(576\) | −23.5251 | + | 31.1666i | −0.980212 | + | 1.29861i | ||||
\(577\) | 1.20391 | − | 1.24157i | 0.0501193 | − | 0.0516872i | −0.692387 | − | 0.721526i | \(-0.743441\pi\) |
0.742506 | + | 0.669839i | \(0.233637\pi\) | |||||||
\(578\) | −11.7722 | + | 53.7534i | −0.489658 | + | 2.23584i | ||||
\(579\) | −7.68219 | + | 2.70805i | −0.319261 | + | 0.112543i | ||||
\(580\) | 28.0215 | − | 5.23813i | 1.16353 | − | 0.217502i | ||||
\(581\) | 2.08653 | + | 0.258369i | 0.0865639 | + | 0.0107189i | ||||
\(582\) | 51.4719 | − | 14.6512i | 2.13358 | − | 0.607311i | ||||
\(583\) | 14.6337 | − | 2.73551i | 0.606066 | − | 0.113293i | ||||
\(584\) | −10.3205 | − | 1.92924i | −0.427066 | − | 0.0798325i | ||||
\(585\) | −22.7420 | + | 34.3376i | −0.940266 | + | 1.41969i | ||||
\(586\) | 45.7702 | + | 11.5117i | 1.89075 | + | 0.475542i | ||||
\(587\) | −5.59411 | − | 3.95999i | −0.230894 | − | 0.163446i | 0.456518 | − | 0.889714i | \(-0.349096\pi\) |
−0.687412 | + | 0.726268i | \(0.741253\pi\) | |||||||
\(588\) | −17.2715 | − | 32.1550i | −0.712263 | − | 1.32605i | ||||
\(589\) | 0.431480 | + | 0.444978i | 0.0177788 | + | 0.0183350i | ||||
\(590\) | 22.9053 | − | 18.4318i | 0.942994 | − | 0.758825i | ||||
\(591\) | 22.1668 | + | 6.30435i | 0.911820 | + | 0.259326i | ||||
\(592\) | 3.66088 | + | 3.33733i | 0.150461 | + | 0.137164i | ||||
\(593\) | 0.248564 | − | 8.06773i | 0.0102073 | − | 0.331302i | −0.980600 | − | 0.196020i | \(-0.937198\pi\) |
0.990807 | − | 0.135282i | \(-0.0431940\pi\) | |||||||
\(594\) | −14.8463 | + | 18.4621i | −0.609151 | + | 0.757509i | ||||
\(595\) | 3.42866 | + | 1.32827i | 0.140561 | + | 0.0544538i | ||||
\(596\) | 13.3621 | + | 61.0131i | 0.547332 | + | 2.49920i | ||||
\(597\) | −32.9506 | − | 28.2240i | −1.34858 | − | 1.15513i | ||||
\(598\) | −28.8050 | − | 1.77663i | −1.17792 | − | 0.0726519i | ||||
\(599\) | 10.8744 | − | 12.6927i | 0.444317 | − | 0.518609i | −0.491604 | − | 0.870819i | \(-0.663589\pi\) |
0.935921 | + | 0.352210i | \(0.114570\pi\) | |||||||
\(600\) | −55.9825 | − | 5.18129i | −2.28547 | − | 0.211525i | ||||
\(601\) | 0.568454 | − | 18.4505i | 0.0231877 | − | 0.752612i | −0.914390 | − | 0.404835i | \(-0.867329\pi\) |
0.937577 | − | 0.347777i | \(-0.113063\pi\) | |||||||
\(602\) | 0.0638440 | − | 0.0293729i | 0.00260209 | − | 0.00119715i | ||||
\(603\) | −4.36109 | − | 0.814230i | −0.177597 | − | 0.0331580i | ||||
\(604\) | 5.85774 | + | 5.34003i | 0.238348 | + | 0.217283i | ||||
\(605\) | 30.0194 | + | 1.85153i | 1.22046 | + | 0.0752755i | ||||
\(606\) | −40.1197 | + | 3.72211i | −1.62975 | + | 0.151200i | ||||
\(607\) | −10.0149 | + | 3.87978i | −0.406491 | + | 0.157476i | −0.555802 | − | 0.831315i | \(-0.687589\pi\) |
0.149311 | + | 0.988790i | \(0.452295\pi\) | |||||||
\(608\) | 0.424887 | − | 0.300771i | 0.0172314 | − | 0.0121979i | ||||
\(609\) | 0.0299141 | + | 0.484134i | 0.00121218 | + | 0.0196181i | ||||
\(610\) | −57.9514 | − | 87.4574i | −2.34638 | − | 3.54105i | ||||
\(611\) | 9.08210 | + | 0.560165i | 0.367422 | + | 0.0226618i | ||||
\(612\) | 58.2577 | + | 3.58027i | 2.35493 | + | 0.144724i | ||||
\(613\) | 4.94432 | + | 5.09900i | 0.199699 | + | 0.205947i | 0.810338 | − | 0.585962i | \(-0.199283\pi\) |
−0.610639 | + | 0.791909i | \(0.709087\pi\) | |||||||
\(614\) | −15.5463 | − | 4.94564i | −0.627398 | − | 0.199590i | ||||
\(615\) | −36.2256 | + | 15.3377i | −1.46076 | + | 0.618476i | ||||
\(616\) | −0.0925533 | + | 0.596238i | −0.00372908 | + | 0.0240231i | ||||
\(617\) | −10.7174 | − | 18.5630i | −0.431465 | − | 0.747320i | 0.565534 | − | 0.824725i | \(-0.308670\pi\) |
−0.997000 | + | 0.0774048i | \(0.975337\pi\) | |||||||
\(618\) | −38.1863 | + | 9.60692i | −1.53608 | + | 0.386447i | ||||
\(619\) | −14.9242 | + | 25.8495i | −0.599855 | + | 1.03898i | 0.392987 | + | 0.919544i | \(0.371442\pi\) |
−0.992842 | + | 0.119435i | \(0.961892\pi\) | |||||||
\(620\) | 81.5251 | + | 65.6030i | 3.27413 | + | 2.63468i | ||||
\(621\) | 20.8944 | + | 4.56868i | 0.838464 | + | 0.183335i | ||||
\(622\) | 3.90465 | + | 17.8292i | 0.156562 | + | 0.714886i | ||||
\(623\) | −0.359939 | + | 0.0905284i | −0.0144207 | + | 0.00362694i | ||||
\(624\) | −1.22854 | − | 4.88237i | −0.0491809 | − | 0.195451i | ||||
\(625\) | 47.4831 | + | 95.3589i | 1.89932 | + | 3.81436i | ||||
\(626\) | −41.5005 | + | 2.55966i | −1.65869 | + | 0.102305i | ||||
\(627\) | 0.230385 | − | 0.152695i | 0.00920070 | − | 0.00609807i | ||||
\(628\) | −11.9923 | − | 5.51732i | −0.478544 | − | 0.220165i | ||||
\(629\) | 5.27534 | − | 33.9843i | 0.210342 | − | 1.35504i | ||||
\(630\) | 0.819102 | − | 3.74410i | 0.0326338 | − | 0.149168i | ||||
\(631\) | 3.13770 | + | 6.30135i | 0.124910 | + | 0.250853i | 0.948788 | − | 0.315915i | \(-0.102311\pi\) |
−0.823878 | + | 0.566768i | \(0.808194\pi\) | |||||||
\(632\) | −27.4233 | + | 8.72398i | −1.09084 | + | 0.347021i | ||||
\(633\) | 18.6289 | − | 14.0712i | 0.740434 | − | 0.559278i | ||||
\(634\) | −42.6312 | − | 30.1780i | −1.69310 | − | 1.19852i | ||||
\(635\) | −2.70157 | − | 1.67274i | −0.107209 | − | 0.0663808i | ||||
\(636\) | −22.0852 | + | 31.2062i | −0.875736 | + | 1.23741i | ||||
\(637\) | 21.4851 | + | 4.01626i | 0.851271 | + | 0.159130i | ||||
\(638\) | −5.42394 | + | 8.18554i | −0.214736 | + | 0.324069i | ||||
\(639\) | −0.0758126 | − | 2.44311i | −0.00299910 | − | 0.0966481i | ||||
\(640\) | 51.4632 | − | 46.9149i | 2.03426 | − | 1.85447i | ||||
\(641\) | 18.7146 | − | 15.0596i | 0.739182 | − | 0.594818i | −0.182298 | − | 0.983243i | \(-0.558353\pi\) |
0.921480 | + | 0.388426i | \(0.126981\pi\) | |||||||
\(642\) | −1.64671 | + | 26.7467i | −0.0649906 | + | 1.05561i | ||||
\(643\) | −6.37324 | + | 3.42236i | −0.251336 | + | 0.134965i | −0.593924 | − | 0.804521i | \(-0.702422\pi\) |
0.342588 | + | 0.939486i | \(0.388697\pi\) | |||||||
\(644\) | 1.53916 | − | 0.489643i | 0.0606516 | − | 0.0192947i | ||||
\(645\) | −1.76304 | − | 0.501416i | −0.0694195 | − | 0.0197432i | ||||
\(646\) | −1.05579 | − | 0.409015i | −0.0415395 | − | 0.0160925i | ||||
\(647\) | 4.94670 | − | 1.24414i | 0.194475 | − | 0.0489123i | −0.145447 | − | 0.989366i | \(-0.546462\pi\) |
0.339922 | + | 0.940454i | \(0.389599\pi\) | |||||||
\(648\) | −1.90223 | − | 20.4300i | −0.0747268 | − | 0.802565i | ||||
\(649\) | −0.561977 | + | 6.06470i | −0.0220595 | + | 0.238060i | ||||
\(650\) | 69.4928 | − | 71.6669i | 2.72573 | − | 2.81101i | ||||
\(651\) | −1.27813 | + | 1.23964i | −0.0500940 | + | 0.0485852i | ||||
\(652\) | −16.2085 | − | 45.9965i | −0.634775 | − | 1.80136i | ||||
\(653\) | 1.88597 | − | 5.35201i | 0.0738039 | − | 0.209440i | −0.900421 | − | 0.435020i | \(-0.856741\pi\) |
0.974225 | + | 0.225580i | \(0.0724276\pi\) | |||||||
\(654\) | −11.5419 | − | 11.1893i | −0.451326 | − | 0.437538i | ||||
\(655\) | −28.7329 | − | 67.8842i | −1.12269 | − | 2.65246i | ||||
\(656\) | 1.59822 | − | 4.53543i | 0.0624001 | − | 0.177079i | ||||
\(657\) | −11.7450 | + | 7.27578i | −0.458215 | + | 0.283855i | ||||
\(658\) | −0.806916 | + | 0.256698i | −0.0314569 | + | 0.0100071i | ||||
\(659\) | 7.45034 | + | 26.1852i | 0.290224 | + | 1.02003i | 0.960583 | + | 0.277994i | \(0.0896696\pi\) |
−0.670359 | + | 0.742037i | \(0.733860\pi\) | |||||||
\(660\) | 35.4325 | − | 30.3635i | 1.37921 | − | 1.18190i | ||||
\(661\) | 3.97801 | − | 0.492585i | 0.154727 | − | 0.0191593i | −0.0451510 | − | 0.998980i | \(-0.514377\pi\) |
0.199878 | + | 0.979821i | \(0.435946\pi\) | |||||||
\(662\) | 30.0170 | + | 45.3002i | 1.16664 | + | 1.76064i | ||||
\(663\) | −23.5443 | + | 25.8326i | −0.914385 | + | 1.00326i | ||||
\(664\) | −36.8624 | −1.43054 | ||||||||
\(665\) | −0.0223570 | + | 0.0387235i | −0.000866967 | + | 0.00150163i | ||||
\(666\) | −35.8475 | + | 0.00793176i | −1.38906 | + | 0.000307350i | ||||
\(667\) | 8.79778 | + | 1.08940i | 0.340651 | + | 0.0421818i | ||||
\(668\) | −5.10470 | − | 14.4861i | −0.197507 | − | 0.560484i | ||||
\(669\) | −12.0106 | + | 14.9291i | −0.464358 | + | 0.577191i | ||||
\(670\) | 13.5482 | + | 5.24862i | 0.523414 | + | 0.202772i | ||||
\(671\) | 21.3645 | + | 3.99371i | 0.824767 | + | 0.154176i | ||||
\(672\) | 0.864149 | + | 1.22046i | 0.0333353 | + | 0.0470803i | ||||
\(673\) | 2.27166 | + | 24.5151i | 0.0875662 | + | 0.944990i | 0.920273 | + | 0.391276i | \(0.127966\pi\) |
−0.832707 | + | 0.553714i | \(0.813210\pi\) | |||||||
\(674\) | −7.91656 | + | 13.7119i | −0.304934 | + | 0.528162i | ||||
\(675\) | −59.0241 | + | 44.6037i | −2.27184 | + | 1.71680i | ||||
\(676\) | 8.78090 | + | 4.03986i | 0.337727 | + | 0.155379i | ||||
\(677\) | −7.73938 | + | 15.5428i | −0.297449 | + | 0.597357i | −0.992589 | − | 0.121516i | \(-0.961224\pi\) |
0.695141 | + | 0.718874i | \(0.255342\pi\) | |||||||
\(678\) | 29.8544 | − | 10.5240i | 1.14655 | − | 0.404171i | ||||
\(679\) | 0.0552329 | − | 1.79271i | 0.00211964 | − | 0.0687980i | ||||
\(680\) | −62.5208 | − | 15.7246i | −2.39756 | − | 0.603011i | ||||
\(681\) | −36.4806 | + | 21.0675i | −1.39794 | + | 0.807308i | ||||
\(682\) | −35.7720 | + | 4.42953i | −1.36978 | + | 0.169616i | ||||
\(683\) | 0.717040 | − | 2.03481i | 0.0274368 | − | 0.0778599i | −0.928632 | − | 0.371002i | \(-0.879014\pi\) |
0.956069 | + | 0.293142i | \(0.0947007\pi\) | |||||||
\(684\) | −0.151693 | + | 0.693385i | −0.00580013 | + | 0.0265123i | ||||
\(685\) | 36.5512 | + | 55.1613i | 1.39655 | + | 2.10760i | ||||
\(686\) | −4.00354 | + | 0.748391i | −0.152856 | + | 0.0285737i | ||||
\(687\) | −17.7155 | + | 32.9992i | −0.675888 | + | 1.25900i | ||||
\(688\) | 0.190500 | − | 0.117953i | 0.00726275 | − | 0.00449690i | ||||
\(689\) | −6.26515 | − | 22.0197i | −0.238683 | − | 0.838884i | ||||
\(690\) | −64.5087 | − | 27.2958i | −2.45581 | − | 1.03913i | ||||
\(691\) | −42.6998 | − | 10.7394i | −1.62438 | − | 0.408547i | −0.678898 | − | 0.734232i | \(-0.737542\pi\) |
−0.945478 | + | 0.325685i | \(0.894405\pi\) | |||||||
\(692\) | 6.11746 | − | 1.53860i | 0.232551 | − | 0.0584889i | ||||
\(693\) | 0.438715 | + | 0.661770i | 0.0166654 | + | 0.0251386i | ||||
\(694\) | 17.0358 | − | 10.5481i | 0.646670 | − | 0.400401i | ||||
\(695\) | −58.4180 | − | 53.2550i | −2.21592 | − | 2.02008i | ||||
\(696\) | −1.56362 | − | 8.35950i | −0.0592688 | − | 0.316866i | ||||
\(697\) | −32.3764 | + | 8.14300i | −1.22634 | + | 0.308438i | ||||
\(698\) | 2.33115 | + | 15.0175i | 0.0882355 | + | 0.568422i | ||||
\(699\) | 20.0089 | + | 1.85187i | 0.756808 | + | 0.0700441i | ||||
\(700\) | −2.17771 | + | 5.14503i | −0.0823095 | + | 0.194464i | ||||
\(701\) | −19.5946 | + | 29.5712i | −0.740078 | + | 1.11689i | 0.248857 | + | 0.968540i | \(0.419945\pi\) |
−0.988935 | + | 0.148350i | \(0.952604\pi\) | |||||||
\(702\) | 30.3766 | + | 20.1138i | 1.14649 | + | 0.759145i | ||||
\(703\) | 0.398538 | + | 0.126784i | 0.0150312 | + | 0.00478176i | ||||
\(704\) | −0.815850 | + | 26.4803i | −0.0307485 | + | 0.998015i | ||||
\(705\) | 20.3393 | + | 8.60625i | 0.766023 | + | 0.324130i | ||||
\(706\) | 4.49197 | − | 48.4761i | 0.169057 | − | 1.82442i | ||||
\(707\) | −0.288885 | + | 1.31909i | −0.0108647 | + | 0.0496095i | ||||
\(708\) | −9.80707 | − | 12.1845i | −0.368572 | − | 0.457922i | ||||
\(709\) | −20.5241 | − | 2.54143i | −0.770798 | − | 0.0954455i | −0.272156 | − | 0.962253i | \(-0.587737\pi\) |
−0.498643 | + | 0.866808i | \(0.666168\pi\) | |||||||
\(710\) | −1.22791 | + | 7.91032i | −0.0460826 | + | 0.296869i | ||||
\(711\) | −18.9269 | + | 32.7990i | −0.709813 | + | 1.23006i | ||||
\(712\) | 6.06792 | − | 2.35072i | 0.227405 | − | 0.0880971i | ||||
\(713\) | 17.9747 | + | 27.1266i | 0.673159 | + | 1.01590i | ||||
\(714\) | 1.17463 | − | 3.03306i | 0.0439593 | − | 0.113509i | ||||
\(715\) | 0.860505 | + | 27.9297i | 0.0321811 | + | 1.04451i | ||||
\(716\) | −19.4094 | + | 68.2169i | −0.725362 | + | 2.54938i | ||||
\(717\) | −10.3120 | − | 0.954395i | −0.385108 | − | 0.0356425i | ||||
\(718\) | −23.2439 | + | 65.9614i | −0.867455 | + | 2.46166i | ||||
\(719\) | −29.1393 | − | 23.4483i | −1.08671 | − | 0.874475i | −0.0940723 | − | 0.995565i | \(-0.529988\pi\) |
−0.992642 | + | 0.121090i | \(0.961361\pi\) | |||||||
\(720\) | 1.12478 | − | 12.1676i | 0.0419180 | − | 0.453459i | ||||
\(721\) | −0.0812987 | + | 1.31716i | −0.00302772 | + | 0.0490535i | ||||
\(722\) | −21.2735 | + | 36.8467i | −0.791716 | + | 1.37129i | ||||
\(723\) | −10.3438 | − | 5.14917i | −0.384690 | − | 0.191500i | ||||
\(724\) | 6.02757 | + | 7.03541i | 0.224013 | + | 0.261469i | ||||
\(725\) | −22.6611 | + | 20.6583i | −0.841613 | + | 0.767232i | ||||
\(726\) | 1.63489 | − | 26.5547i | 0.0606765 | − | 0.985539i | ||||
\(727\) | −6.20661 | + | 3.84297i | −0.230190 | + | 0.142528i | −0.636682 | − | 0.771127i | \(-0.719693\pi\) |
0.406491 | + | 0.913655i | \(0.366752\pi\) | |||||||
\(728\) | 0.926121 | + | 0.0571212i | 0.0343243 | + | 0.00211705i | ||||
\(729\) | −19.9653 | − | 18.1765i | −0.739456 | − | 0.673205i | ||||
\(730\) | 42.1920 | − | 16.3453i | 1.56159 | − | 0.604965i | ||||
\(731\) | −1.41314 | − | 0.650149i | −0.0522670 | − | 0.0240466i | ||||
\(732\) | −46.5240 | + | 30.8353i | −1.71958 | + | 1.13971i | ||||
\(733\) | 9.55655 | − | 12.6549i | 0.352979 | − | 0.467420i | −0.586538 | − | 0.809922i | \(-0.699510\pi\) |
0.939517 | + | 0.342502i | \(0.111274\pi\) | |||||||
\(734\) | 40.9170 | − | 61.7500i | 1.51027 | − | 2.27923i | ||||
\(735\) | 45.9457 | + | 26.5200i | 1.69473 | + | 0.978204i | ||||
\(736\) | 24.8288 | − | 11.4231i | 0.915201 | − | 0.421059i | ||||
\(737\) | −2.73444 | + | 1.25804i | −0.100724 | + | 0.0463406i | ||||
\(738\) | 13.5710 | + | 32.0430i | 0.499555 | + | 1.17952i | ||||
\(739\) | 19.0939 | + | 6.07419i | 0.702379 | + | 0.223443i | 0.633005 | − | 0.774148i | \(-0.281821\pi\) |
0.0693741 | + | 0.997591i | \(0.477900\pi\) | |||||||
\(740\) | 69.4044 | + | 12.9739i | 2.55136 | + | 0.476931i | ||||
\(741\) | −0.266504 | − | 0.331111i | −0.00979028 | − | 0.0121637i | ||||
\(742\) | 1.28387 | + | 1.70012i | 0.0471323 | + | 0.0624132i | ||||
\(743\) | −38.8075 | − | 12.3456i | −1.42371 | − | 0.452914i | −0.510314 | − | 0.859988i | \(-0.670471\pi\) |
−0.913395 | + | 0.407074i | \(0.866549\pi\) | |||||||
\(744\) | 19.5687 | − | 24.3236i | 0.717423 | − | 0.891746i | ||||
\(745\) | −63.1950 | − | 65.1720i | −2.31529 | − | 2.38772i | ||||
\(746\) | 2.12514 | − | 68.9764i | 0.0778069 | − | 2.52541i | ||||
\(747\) | −35.8400 | + | 32.6870i | −1.31132 | + | 1.19595i | ||||
\(748\) | 33.6687 | − | 20.8468i | 1.23105 | − | 0.762233i | ||||
\(749\) | 0.837447 | + | 0.324429i | 0.0305997 | + | 0.0118544i | ||||
\(750\) | 140.716 | − | 70.0875i | 5.13821 | − | 2.55923i | ||||
\(751\) | 30.3745 | − | 31.3248i | 1.10838 | − | 1.14306i | 0.119735 | − | 0.992806i | \(-0.461796\pi\) |
0.988648 | − | 0.150251i | \(-0.0480083\pi\) | |||||||
\(752\) | −2.45258 | + | 1.12837i | −0.0894365 | + | 0.0411473i | ||||
\(753\) | −8.36239 | − | 15.5686i | −0.304742 | − | 0.567352i | ||||
\(754\) | 13.3037 | + | 7.14394i | 0.484493 | + | 0.260167i | ||||
\(755\) | −11.3244 | − | 2.11690i | −0.412137 | − | 0.0770418i | ||||
\(756\) | −1.99191 | − | 0.435542i | −0.0724450 | − | 0.0158405i | ||||
\(757\) | −2.09180 | − | 3.15684i | −0.0760278 | − | 0.114737i | 0.793612 | − | 0.608424i | \(-0.208198\pi\) |
−0.869640 | + | 0.493687i | \(0.835649\pi\) | |||||||
\(758\) | 3.64398 | + | 8.60925i | 0.132355 | + | 0.312702i | ||||
\(759\) | 13.3626 | − | 5.65764i | 0.485031 | − | 0.205359i | ||||
\(760\) | 0.305580 | − | 0.721961i | 0.0110845 | − | 0.0261883i | ||||
\(761\) | 16.5209 | + | 15.0608i | 0.598882 | + | 0.545953i | 0.915355 | − | 0.402649i | \(-0.131910\pi\) |
−0.316473 | + | 0.948602i | \(0.602499\pi\) | |||||||
\(762\) | −1.47941 | + | 2.38992i | −0.0535935 | + | 0.0865778i | ||||
\(763\) | −0.474648 | + | 0.254881i | −0.0171834 | + | 0.00922730i | ||||
\(764\) | 16.1725 | − | 38.2091i | 0.585101 | − | 1.38236i | ||||
\(765\) | −74.7301 | + | 40.1505i | −2.70187 | + | 1.45165i | ||||
\(766\) | 45.0933 | + | 20.7462i | 1.62929 | + | 0.749591i | ||||
\(767\) | 9.36630 | 0.338197 | ||||||||
\(768\) | −11.1248 | − | 12.2006i | −0.401433 | − | 0.440253i | ||||
\(769\) | 18.4903 | + | 8.50690i | 0.666778 | + | 0.306767i | 0.722188 | − | 0.691697i | \(-0.243137\pi\) |
−0.0554094 | + | 0.998464i | \(0.517646\pi\) | |||||||
\(770\) | −1.01356 | − | 2.39463i | −0.0365262 | − | 0.0862965i | ||||
\(771\) | 6.18238 | + | 9.98242i | 0.222653 | + | 0.359508i | ||||
\(772\) | −2.17693 | − | 14.0240i | −0.0783494 | − | 0.504735i | ||||
\(773\) | −7.15384 | + | 5.75667i | −0.257306 | + | 0.207053i | −0.746970 | − | 0.664858i | \(-0.768492\pi\) |
0.489664 | + | 0.871911i | \(0.337119\pi\) | |||||||
\(774\) | −0.443370 | + | 1.55960i | −0.0159366 | + | 0.0560585i | ||||
\(775\) | −111.709 | − | 13.8325i | −4.01269 | − | 0.496879i | ||||
\(776\) | 2.90151 | + | 31.3123i | 0.104158 | + | 1.12405i | ||||
\(777\) | −0.364081 | + | 1.14491i | −0.0130613 | + | 0.0410733i | ||||
\(778\) | −10.0676 | + | 17.4376i | −0.360941 | + | 0.625168i | ||||
\(779\) | −0.0374590 | − | 0.404247i | −0.00134211 | − | 0.0144836i | ||||
\(780\) | −51.5216 | − | 49.9476i | −1.84477 | − | 1.78841i | ||||
\(781\) | −0.999382 | − | 1.32340i | −0.0357607 | − | 0.0473548i | ||||
\(782\) | −50.5406 | − | 31.2934i | −1.80733 | − | 1.11905i | ||||
\(783\) | −8.93286 | − | 6.74113i | −0.319235 | − | 0.240908i | ||||
\(784\) | −6.17970 | + | 1.96590i | −0.220704 | + | 0.0702108i | ||||
\(785\) | 19.0407 | − | 2.35775i | 0.679592 | − | 0.0841517i | ||||
\(786\) | −60.0462 | + | 25.4232i | −2.14178 | + | 0.906817i | ||||
\(787\) | 48.4993 | + | 6.00551i | 1.72881 | + | 0.214073i | 0.924778 | − | 0.380508i | \(-0.124251\pi\) |
0.804035 | + | 0.594581i | \(0.202682\pi\) | |||||||
\(788\) | −17.8977 | + | 35.9434i | −0.637579 | + | 1.28043i | ||||
\(789\) | −13.2389 | − | 9.99523i | −0.471316 | − | 0.355840i | ||||
\(790\) | 80.6888 | − | 94.1803i | 2.87078 | − | 3.35079i | ||||
\(791\) | −0.0326702 | − | 1.06039i | −0.00116162 | − | 0.0377031i | ||||
\(792\) | −9.05952 | − | 10.5696i | −0.321916 | − | 0.375574i | ||||
\(793\) | 3.08394 | − | 33.2810i | 0.109514 | − | 1.18184i | ||||
\(794\) | −70.2317 | − | 17.6640i | −2.49243 | − | 0.626871i | ||||
\(795\) | 3.41453 | − | 55.4605i | 0.121101 | − | 1.96698i | ||||
\(796\) | 58.8917 | − | 47.3900i | 2.08736 | − | 1.67969i | ||||
\(797\) | −27.2593 | − | 14.6379i | −0.965574 | − | 0.518502i | −0.0870515 | − | 0.996204i | \(-0.527744\pi\) |
−0.878522 | + | 0.477702i | \(0.841470\pi\) | |||||||
\(798\) | 0.0342562 | + | 0.0197728i | 0.00121266 | + | 0.000699949i | ||||
\(799\) | 15.9352 | + | 9.86667i | 0.563748 | + | 0.349058i | ||||
\(800\) | −25.8713 | + | 90.9281i | −0.914688 | + | 3.21479i | ||||
\(801\) | 3.81516 | − | 7.66612i | 0.134802 | − | 0.270869i | ||||
\(802\) | −50.1469 | + | 45.7150i | −1.77075 | + | 1.61425i | ||||
\(803\) | −3.65370 | + | 8.63221i | −0.128936 | + | 0.304624i | ||||
\(804\) | 2.79147 | − | 7.20798i | 0.0984476 | − | 0.254206i | ||||
\(805\) | −1.52735 | + | 1.78273i | −0.0538320 | + | 0.0628330i | ||||
\(806\) | 11.8584 | + | 54.1473i | 0.417696 | + | 1.90726i | ||||
\(807\) | 34.2138 | + | 12.0522i | 1.20438 | + | 0.424258i | ||||
\(808\) | 2.18452 | − | 23.5747i | 0.0768510 | − | 0.829354i | ||||
\(809\) | 28.1482 | + | 19.9257i | 0.989637 | + | 0.700549i | 0.954307 | − | 0.298826i | \(-0.0965952\pi\) |
0.0353291 | + | 0.999376i | \(0.488752\pi\) | |||||||
\(810\) | 53.3192 | + | 70.5412i | 1.87345 | + | 2.47856i | ||||
\(811\) | −6.34110 | − | 12.7346i | −0.222666 | − | 0.447174i | 0.755458 | − | 0.655197i | \(-0.227415\pi\) |
−0.978124 | + | 0.208024i | \(0.933297\pi\) | |||||||
\(812\) | −0.838711 | − | 0.103855i | −0.0294330 | − | 0.00364459i | ||||
\(813\) | 30.2725 | − | 20.0641i | 1.06170 | − | 0.703680i | ||||
\(814\) | −19.8508 | + | 14.0521i | −0.695771 | + | 0.492526i | ||||
\(815\) | 55.2227 | + | 44.4376i | 1.93437 | + | 1.55658i | ||||
\(816\) | 2.52828 | − | 10.0571i | 0.0885074 | − | 0.352069i | ||||
\(817\) | 0.0104486 | − | 0.0157686i | 0.000365551 | − | 0.000551672i | ||||
\(818\) | −76.5806 | − | 41.1229i | −2.67758 | − | 1.43783i | ||||
\(819\) | 0.951085 | − | 0.765682i | 0.0332336 | − | 0.0267551i | ||||
\(820\) | −14.6630 | − | 66.9533i | −0.512054 | − | 2.33811i | ||||
\(821\) | 7.61997 | − | 21.6239i | 0.265939 | − | 0.754680i | −0.731412 | − | 0.681936i | \(-0.761138\pi\) |
0.997351 | − | 0.0727438i | \(-0.0231755\pi\) | |||||||
\(822\) | 48.7910 | − | 32.3379i | 1.70178 | − | 1.12791i | ||||
\(823\) | −3.55852 | − | 6.16353i | −0.124042 | − | 0.214847i | 0.797316 | − | 0.603562i | \(-0.206252\pi\) |
−0.921358 | + | 0.388715i | \(0.872919\pi\) | |||||||
\(824\) | −1.42334 | − | 23.0938i | −0.0495843 | − | 0.804509i | ||||
\(825\) | −15.2111 | + | 47.8335i | −0.529583 | + | 1.66535i | ||||
\(826\) | −0.812746 | + | 0.314860i | −0.0282791 | + | 0.0109554i | ||||
\(827\) | 38.6160 | − | 7.21857i | 1.34281 | − | 0.251014i | 0.537196 | − | 0.843457i | \(-0.319484\pi\) |
0.805612 | + | 0.592443i | \(0.201837\pi\) | |||||||
\(828\) | −14.5176 | + | 34.3203i | −0.504521 | + | 1.19271i | ||||
\(829\) | −12.8481 | − | 13.2500i | −0.446232 | − | 0.460192i | 0.456924 | − | 0.889506i | \(-0.348951\pi\) |
−0.903155 | + | 0.429314i | \(0.858755\pi\) | |||||||
\(830\) | 135.066 | − | 83.6296i | 4.68823 | − | 2.90283i | ||||
\(831\) | 24.1009 | − | 3.74388i | 0.836051 | − | 0.129874i | ||||
\(832\) | 40.6637 | − | 2.50805i | 1.40976 | − | 0.0869511i | ||||
\(833\) | 35.0749 | + | 28.2246i | 1.21527 | + | 0.977926i | ||||
\(834\) | −47.1027 | + | 51.6806i | −1.63103 | + | 1.78955i | ||||
\(835\) | 17.3918 | + | 13.9951i | 0.601868 | + | 0.484321i | ||||
\(836\) | 0.187706 | + | 0.443472i | 0.00649194 | + | 0.0153378i | ||||
\(837\) | −2.54252 | − | 41.0011i | −0.0878823 | − | 1.41720i | ||||
\(838\) | −10.2647 | − | 9.35748i | −0.354587 | − | 0.323249i | ||||
\(839\) | −18.4728 | + | 8.49883i | −0.637751 | + | 0.293412i | −0.710243 | − | 0.703957i | \(-0.751415\pi\) |
0.0724915 | + | 0.997369i | \(0.476905\pi\) | |||||||
\(840\) | 2.07404 | + | 0.877597i | 0.0715613 | + | 0.0302800i | ||||
\(841\) | 20.7126 | + | 12.8247i | 0.714227 | + | 0.442231i | ||||
\(842\) | −10.9601 | − | 50.0454i | −0.377711 | − | 1.72468i | ||||
\(843\) | 29.0789 | + | 46.9524i | 1.00153 | + | 1.61713i | ||||
\(844\) | 18.1308 | + | 36.4115i | 0.624086 | + | 1.25333i | ||||
\(845\) | −13.9418 | + | 1.72637i | −0.479614 | + | 0.0593891i | ||||
\(846\) | 7.61093 | − | 17.9926i | 0.261669 | − | 0.618599i | ||||
\(847\) | −0.831435 | − | 0.322100i | −0.0285685 | − | 0.0110675i | ||||
\(848\) | 4.72838 | + | 4.87631i | 0.162373 | + | 0.167453i | ||||
\(849\) | 32.7567 | + | 11.5390i | 1.12421 | + | 0.396016i | ||||
\(850\) | 195.944 | − | 62.3342i | 6.72081 | − | 2.13804i | ||||
\(851\) | 19.3444 | + | 10.3877i | 0.663116 | + | 0.356086i | ||||
\(852\) | 4.20837 | + | 0.652783i | 0.144176 | + | 0.0223640i | ||||
\(853\) | −7.46728 | + | 26.2448i | −0.255675 | + | 0.898604i | 0.722596 | + | 0.691271i | \(0.242949\pi\) |
−0.978270 | + | 0.207333i | \(0.933522\pi\) | |||||||
\(854\) | 0.851178 | + | 2.99158i | 0.0291267 | + | 0.102370i | ||||
\(855\) | −0.343080 | − | 0.972902i | −0.0117331 | − | 0.0332726i | ||||
\(856\) | −15.2706 | − | 3.84072i | −0.521940 | − | 0.131273i | ||||
\(857\) | 31.0488 | + | 16.6729i | 1.06061 | + | 0.569534i | 0.908094 | − | 0.418767i | \(-0.137538\pi\) |
0.152514 | + | 0.988301i | \(0.451263\pi\) | |||||||
\(858\) | 24.7060 | − | 0.763919i | 0.843449 | − | 0.0260798i | ||||
\(859\) | 9.63420 | − | 27.3399i | 0.328715 | − | 0.932824i | −0.655399 | − | 0.755283i | \(-0.727499\pi\) |
0.984113 | − | 0.177541i | \(-0.0568143\pi\) | |||||||
\(860\) | 1.42349 | − | 2.85876i | 0.0485407 | − | 0.0974828i | ||||
\(861\) | 1.16125 | − | 0.107735i | 0.0395753 | − | 0.00367161i | ||||
\(862\) | −9.85805 | − | 11.5064i | −0.335766 | − | 0.391908i | ||||
\(863\) | −7.49638 | − | 9.92682i | −0.255180 | − | 0.337913i | 0.652337 | − | 0.757929i | \(-0.273789\pi\) |
−0.907516 | + | 0.420017i | \(0.862024\pi\) | |||||||
\(864\) | −34.3555 | − | 3.17201i | −1.16880 | − | 0.107914i | ||||
\(865\) | −6.38230 | + | 6.58196i | −0.217005 | + | 0.223793i | ||||
\(866\) | 73.0680 | − | 39.2367i | 2.48295 | − | 1.33332i | ||||
\(867\) | −40.1282 | + | 14.1456i | −1.36283 | + | 0.480411i | ||||
\(868\) | −1.71357 | − | 2.58604i | −0.0581623 | − | 0.0877758i | ||||
\(869\) | 2.37057 | + | 25.5825i | 0.0804160 | + | 0.867827i | ||||
\(870\) | 24.6944 | + | 27.0824i | 0.837217 | + | 0.918180i | ||||
\(871\) | 2.31437 | + | 4.00860i | 0.0784194 | + | 0.135826i | ||||
\(872\) | 7.70974 | − | 5.45761i | 0.261085 | − | 0.184818i | ||||
\(873\) | 30.5866 | + | 27.8709i | 1.03520 | + | 0.943289i | ||||
\(874\) | 0.470318 | − | 0.548957i | 0.0159087 | − | 0.0185688i | ||||
\(875\) | −0.808155 | − | 5.20622i | −0.0273206 | − | 0.176002i | ||||
\(876\) | −8.69816 | − | 22.4452i | −0.293884 | − | 0.758352i | ||||
\(877\) | −38.1803 | − | 7.13714i | −1.28926 | − | 0.241004i | −0.505910 | − | 0.862587i | \(-0.668843\pi\) |
−0.783349 | + | 0.621582i | \(0.786490\pi\) | |||||||
\(878\) | −34.5773 | − | 81.6920i | −1.16693 | − | 2.75697i | ||||
\(879\) | 11.0667 | + | 34.7743i | 0.373272 | + | 1.17291i | ||||
\(880\) | −4.14522 | − | 7.17972i | −0.139735 | − | 0.242028i | ||||
\(881\) | 4.24890 | + | 7.35931i | 0.143149 | + | 0.247941i | 0.928681 | − | 0.370880i | \(-0.120944\pi\) |
−0.785532 | + | 0.618821i | \(0.787611\pi\) | |||||||
\(882\) | 23.4546 | − | 40.6453i | 0.789756 | − | 1.36860i | ||||
\(883\) | −5.39606 | + | 0.332817i | −0.181592 | + | 0.0112002i | −0.152102 | − | 0.988365i | \(-0.548604\pi\) |
−0.0294902 | + | 0.999565i | \(0.509388\pi\) | |||||||
\(884\) | −36.6989 | − | 48.5972i | −1.23432 | − | 1.63450i | ||||
\(885\) | 21.4417 | + | 7.55308i | 0.720753 | + | 0.253894i | ||||
\(886\) | −47.5450 | − | 11.9580i | −1.59730 | − | 0.401738i | ||||
\(887\) | −23.3808 | − | 21.3144i | −0.785049 | − | 0.715667i | 0.178283 | − | 0.983979i | \(-0.442946\pi\) |
−0.963332 | + | 0.268313i | \(0.913534\pi\) | |||||||
\(888\) | 3.86823 | − | 20.7059i | 0.129809 | − | 0.694844i | ||||
\(889\) | 0.0612886 | + | 0.0715364i | 0.00205555 | + | 0.00239925i | ||||
\(890\) | −16.9002 | + | 22.3795i | −0.566495 | + | 0.750161i | ||||
\(891\) | −18.1806 | − | 2.24308i | −0.609073 | − | 0.0751459i | ||||
\(892\) | −21.7201 | − | 25.3518i | −0.727242 | − | 0.848841i | ||||
\(893\) | −0.148289 | + | 0.173084i | −0.00496231 | + | 0.00579203i | ||||
\(894\) | −57.6437 | + | 55.9074i | −1.92789 | + | 1.86982i | ||||
\(895\) | −28.2101 | − | 99.1483i | −0.942961 | − | 3.31416i | ||||
\(896\) | −1.87552 | + | 0.862876i | −0.0626567 | + | 0.0288267i | ||||
\(897\) | −10.5593 | − | 19.6587i | −0.352565 | − | 0.656384i | ||||
\(898\) | 2.13781 | − | 7.51363i | 0.0713397 | − | 0.250733i | ||||
\(899\) | −2.61178 | − | 16.8253i | −0.0871076 | − | 0.561157i | ||||
\(900\) | −57.4808 | − | 115.373i | −1.91603 | − | 3.84577i | ||||
\(901\) | 10.0881 | − | 46.0638i | 0.336084 | − | 1.53461i | ||||
\(902\) | 20.0730 | + | 12.4287i | 0.668359 | + | 0.413830i | ||||
\(903\) | 0.0453010 | + | 0.0300103i | 0.00150752 | + | 0.000998682i | ||||
\(904\) | 2.85317 | + | 18.3804i | 0.0948950 | + | 0.611324i | ||||
\(905\) | −12.8315 | − | 4.08198i | −0.426532 | − | 0.135690i | ||||
\(906\) | −1.87146 | + | 10.0176i | −0.0621751 | + | 0.332811i | ||||
\(907\) | −5.85720 | − | 11.7628i | −0.194485 | − | 0.390579i | 0.776359 | − | 0.630291i | \(-0.217064\pi\) |
−0.970844 | + | 0.239713i | \(0.922947\pi\) | |||||||
\(908\) | −24.3941 | − | 69.2255i | −0.809547 | − | 2.29733i | ||||
\(909\) | −18.7804 | − | 24.8579i | −0.622908 | − | 0.824484i | ||||
\(910\) | −3.52296 | + | 1.89179i | −0.116785 | + | 0.0627122i | ||||
\(911\) | 0.455746 | − | 4.91828i | 0.0150995 | − | 0.162950i | −0.984846 | − | 0.173434i | \(-0.944514\pi\) |
0.999945 | + | 0.0104840i | \(0.00333721\pi\) | |||||||
\(912\) | 0.116137 | + | 0.0491413i | 0.00384567 | + | 0.00162723i | ||||
\(913\) | −7.04058 | + | 32.1483i | −0.233009 | + | 1.06395i | ||||
\(914\) | −38.8627 | + | 58.6496i | −1.28546 | + | 1.93996i | ||||
\(915\) | 33.8980 | − | 73.7011i | 1.12063 | − | 2.43648i | ||||
\(916\) | −50.8395 | − | 40.9104i | −1.67979 | − | 1.35172i | ||||
\(917\) | 0.201638 | + | 2.17602i | 0.00665868 | + | 0.0718586i | ||||
\(918\) | 35.5237 | + | 66.1009i | 1.17246 | + | 2.18165i | ||||
\(919\) | −4.50095 | + | 9.03912i | −0.148473 | + | 0.298173i | −0.956897 | − | 0.290426i | \(-0.906203\pi\) |
0.808425 | + | 0.588599i | \(0.200320\pi\) | |||||||
\(920\) | 22.7349 | − | 34.3104i | 0.749548 | − | 1.13118i | ||||
\(921\) | −3.07818 | − | 12.2331i | −0.101429 | − | 0.403093i | ||||
\(922\) | −3.60558 | + | 12.6723i | −0.118743 | + | 0.417340i | ||||
\(923\) | −1.88464 | + | 1.71808i | −0.0620338 | + | 0.0565513i | ||||
\(924\) | −1.27389 | + | 0.539356i | −0.0419077 | + | 0.0177435i | ||||
\(925\) | −70.8211 | + | 27.4363i | −2.32858 | + | 0.902098i | ||||
\(926\) | −0.467057 | −0.0153484 | ||||||||
\(927\) | −21.8618 | − | 21.1911i | −0.718035 | − | 0.696007i | ||||
\(928\) | −14.3003 | −0.469431 | ||||||||
\(929\) | −42.7374 | + | 16.5566i | −1.40217 | + | 0.543203i | −0.939261 | − | 0.343203i | \(-0.888488\pi\) |
−0.462908 | + | 0.886406i | \(0.653194\pi\) | |||||||
\(930\) | −16.5182 | + | 133.519i | −0.541653 | + | 4.37825i | ||||
\(931\) | −0.404593 | + | 0.368835i | −0.0132600 | + | 0.0120881i | ||||
\(932\) | −9.58112 | + | 33.6741i | −0.313840 | + | 1.10303i | ||||
\(933\) | −10.1306 | + | 9.82546i | −0.331661 | + | 0.321671i | ||||
\(934\) | −14.6314 | + | 22.0810i | −0.478755 | + | 0.722513i | ||||
\(935\) | −25.6549 | + | 51.5219i | −0.839004 | + | 1.68495i | ||||
\(936\) | −14.8992 | + | 15.3721i | −0.486995 | + | 0.502453i | ||||
\(937\) | 3.74353 | + | 40.3991i | 0.122296 | + | 1.31978i | 0.806822 | + | 0.590794i | \(0.201186\pi\) |
−0.684526 | + | 0.728988i | \(0.739991\pi\) | |||||||
\(938\) | −0.335580 | − | 0.270040i | −0.0109571 | − | 0.00881712i | ||||
\(939\) | −18.5784 | − | 26.2388i | −0.606285 | − | 0.856272i | ||||
\(940\) | −21.2545 | + | 32.0763i | −0.693246 | + | 1.04621i | ||||
\(941\) | 7.11155 | − | 32.4723i | 0.231830 | − | 1.05857i | −0.705116 | − | 0.709092i | \(-0.749105\pi\) |
0.936946 | − | 0.349475i | \(-0.113640\pi\) | |||||||
\(942\) | −2.08748 | − | 16.8428i | −0.0680138 | − | 0.548768i | ||||
\(943\) | 1.96664 | − | 21.2234i | 0.0640425 | − | 0.691129i | ||||
\(944\) | −2.44824 | + | 1.31468i | −0.0796836 | + | 0.0427892i | ||||
\(945\) | 2.79471 | − | 0.985860i | 0.0909119 | − | 0.0320700i | ||||
\(946\) | 0.365607 | + | 1.03752i | 0.0118869 | + | 0.0337326i | ||||
\(947\) | 5.26886 | + | 10.5813i | 0.171215 | + | 0.343846i | 0.964106 | − | 0.265517i | \(-0.0855428\pi\) |
−0.792891 | + | 0.609363i | \(0.791425\pi\) | |||||||
\(948\) | −50.1087 | − | 42.9209i | −1.62746 | − | 1.39401i | ||||
\(949\) | 13.7365 | + | 4.36989i | 0.445905 | + | 0.141853i | ||||
\(950\) | 0.383550 | + | 2.47087i | 0.0124440 | + | 0.0801655i | ||||
\(951\) | 2.48178 | − | 40.3103i | 0.0804772 | − | 1.30715i | ||||
\(952\) | 1.62495 | + | 1.00613i | 0.0526649 | + | 0.0326087i | ||||
\(953\) | 2.92106 | − | 13.3380i | 0.0946225 | − | 0.432059i | −0.905350 | − | 0.424666i | \(-0.860392\pi\) |
0.999973 | − | 0.00739365i | \(-0.00235349\pi\) | |||||||
\(954\) | −49.0596 | − | 3.01500i | −1.58836 | − | 0.0976142i | ||||
\(955\) | 9.25011 | + | 59.5902i | 0.299326 | + | 1.92829i | ||||
\(956\) | 4.93781 | − | 17.3546i | 0.159700 | − | 0.561288i | ||||
\(957\) | −7.58909 | − | 0.232977i | −0.245321 | − | 0.00753108i | ||||
\(958\) | −30.2954 | + | 13.9381i | −0.978799 | + | 0.450319i | ||||
\(959\) | −0.536856 | − | 1.88685i | −0.0173360 | − | 0.0609296i | ||||
\(960\) | 95.1113 | + | 27.0501i | 3.06970 | + | 0.873039i | ||||
\(961\) | 20.4957 | − | 23.9227i | 0.661152 | − | 0.771700i | ||||
\(962\) | 24.3339 | + | 28.4027i | 0.784557 | + | 0.915739i | ||||
\(963\) | −18.2528 | + | 9.80673i | −0.588187 | + | 0.316017i | ||||
\(964\) | 12.1320 | − | 16.0653i | 0.390745 | − | 0.517430i | ||||
\(965\) | 13.4203 | + | 15.6643i | 0.432015 | + | 0.504250i | ||||
\(966\) | 1.57712 | + | 1.35089i | 0.0507429 | + | 0.0434641i | ||||
\(967\) | −26.1239 | − | 23.8151i | −0.840089 | − | 0.765842i | 0.134245 | − | 0.990948i | \(-0.457139\pi\) |
−0.974334 | + | 0.225106i | \(0.927727\pi\) | |||||||
\(968\) | 15.1610 | + | 3.81315i | 0.487294 | + | 0.122559i | ||||
\(969\) | −0.160965 | − | 0.860558i | −0.00517093 | − | 0.0276451i | ||||
\(970\) | −81.6694 | − | 108.148i | −2.62225 | − | 3.47241i | ||||
\(971\) | 44.7952 | − | 2.76287i | 1.43755 | − | 0.0886648i | 0.676060 | − | 0.736846i | \(-0.263686\pi\) |
0.761486 | + | 0.648181i | \(0.224470\pi\) | |||||||
\(972\) | 37.5248 | − | 28.3700i | 1.20361 | − | 0.909969i | ||||
\(973\) | 1.17175 | + | 2.02952i | 0.0375644 | + | 0.0650635i | ||||
\(974\) | 22.3215 | + | 38.6619i | 0.715226 | + | 1.23881i | ||||
\(975\) | 75.4034 | + | 16.5048i | 2.41484 | + | 0.528578i | ||||
\(976\) | 3.86531 | + | 9.13215i | 0.123725 | + | 0.292313i | ||||
\(977\) | −11.1752 | − | 2.08900i | −0.357526 | − | 0.0668332i | 0.00192251 | − | 0.999998i | \(-0.499388\pi\) |
−0.359448 | + | 0.933165i | \(0.617035\pi\) | |||||||
\(978\) | 39.3032 | − | 48.8533i | 1.25678 | − | 1.56216i | ||||
\(979\) | −0.891152 | − | 5.74090i | −0.0284813 | − | 0.183480i | ||||
\(980\) | −60.1363 | + | 70.1914i | −1.92098 | + | 2.24218i | ||||
\(981\) | 2.65648 | − | 12.1427i | 0.0848147 | − | 0.387686i | ||||
\(982\) | 8.77853 | − | 6.21419i | 0.280134 | − | 0.198303i | ||||
\(983\) | 19.0904 | + | 33.0655i | 0.608889 | + | 1.05463i | 0.991424 | + | 0.130685i | \(0.0417177\pi\) |
−0.382535 | + | 0.923941i | \(0.624949\pi\) | |||||||
\(984\) | −19.9737 | + | 4.37663i | −0.636739 | + | 0.139522i | ||||
\(985\) | −5.38472 | − | 58.1104i | −0.171572 | − | 1.85155i | ||||
\(986\) | 17.1805 | + | 25.9279i | 0.547137 | + | 0.825713i | ||||
\(987\) | −0.497258 | − | 0.425930i | −0.0158279 | − | 0.0135575i | ||||
\(988\) | 0.652432 | − | 0.350349i | 0.0207566 | − | 0.0111461i | ||||
\(989\) | 0.691345 | − | 0.712973i | 0.0219835 | − | 0.0226712i | ||||
\(990\) | 57.1738 | + | 18.1744i | 1.81710 | + | 0.577620i | ||||
\(991\) | −10.1355 | − | 13.4216i | −0.321965 | − | 0.426351i | 0.608035 | − | 0.793910i | \(-0.291958\pi\) |
−0.930000 | + | 0.367560i | \(0.880193\pi\) | |||||||
\(992\) | −34.1531 | − | 39.8637i | −1.08436 | − | 1.26567i | ||||
\(993\) | −17.5581 | + | 38.1748i | −0.557189 | + | 1.21144i | ||||
\(994\) | 0.105782 | − | 0.212438i | 0.00335519 | − | 0.00673814i | ||||
\(995\) | −36.5147 | + | 103.621i | −1.15759 | + | 3.28501i | ||||
\(996\) | −44.4990 | − | 71.8505i | −1.41000 | − | 2.27667i | ||||
\(997\) | −30.2400 | − | 16.2385i | −0.957710 | − | 0.514279i | −0.0817443 | − | 0.996653i | \(-0.526049\pi\) |
−0.875965 | + | 0.482374i | \(0.839775\pi\) | |||||||
\(998\) | −73.0537 | − | 18.3738i | −2.31248 | − | 0.581611i | ||||
\(999\) | −14.5996 | − | 23.5616i | −0.461910 | − | 0.745457i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 927.2.y.a.781.14 | yes | 3264 | |
9.4 | even | 3 | 927.2.z.a.472.89 | yes | 3264 | ||
103.91 | even | 51 | 927.2.z.a.709.89 | yes | 3264 | ||
927.400 | even | 51 | inner | 927.2.y.a.400.14 | ✓ | 3264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.y.a.400.14 | ✓ | 3264 | 927.400 | even | 51 | inner | |
927.2.y.a.781.14 | yes | 3264 | 1.1 | even | 1 | trivial | |
927.2.z.a.472.89 | yes | 3264 | 9.4 | even | 3 | ||
927.2.z.a.709.89 | yes | 3264 | 103.91 | even | 51 |